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Simplifying (2x(2) + -3 + 4x(3)) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Reorder the terms for easier multiplication: (2 * 2x + -3 + 4x(3)) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Multiply 2 * 2 (4x + -3 + 4x(3)) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Reorder the terms for easier multiplication: (4x + -3 + 4 * 3x) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Multiply 4 * 3 (4x + -3 + 12x) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Reorder the terms: (-3 + 4x + 12x) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Combine like terms: 4x + 12x = 16x (-3 + 16x) + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Remove parenthesis around (-3 + 16x) -3 + 16x + (-7 + -2x(3) + -3x(2)) = -6x(3) + -5x(2) + 4 Reorder the terms for easier multiplication: -3 + 16x + (-7 + -2 * 3x + -3x(2)) = -6x(3) + -5x(2) + 4 Multiply -2 * 3 -3 + 16x + (-7 + -6x + -3x(2)) = -6x(3) + -5x(2) + 4 Reorder the terms for easier multiplication: -3 + 16x + (-7 + -6x + -3 * 2x) = -6x(3) + -5x(2) + 4 Multiply -3 * 2 -3 + 16x + (-7 + -6x + -6x) = -6x(3) + -5x(2) + 4 Combine like terms: -6x + -6x = -12x -3 + 16x + (-7 + -12x) = -6x(3) + -5x(2) + 4 Remove parenthesis around (-7 + -12x) -3 + 16x + -7 + -12x = -6x(3) + -5x(2) + 4 Reorder the terms: -3 + -7 + 16x + -12x = -6x(3) + -5x(2) + 4 Combine like terms: -3 + -7 = -10 -10 + 16x + -12x = -6x(3) + -5x(2) + 4 Combine like terms: 16x + -12x = 4x -10 + 4x = -6x(3) + -5x(2) + 4 Reorder the terms for easier multiplication: -10 + 4x = -6 * 3x + -5x(2) + 4 Multiply -6 * 3 -10 + 4x = -18x + -5x(2) + 4 Reorder the terms for easier multiplication: -10 + 4x = -18x + -5 * 2x + 4 Multiply -5 * 2 -10 + 4x = -18x + -10x + 4 Reorder the terms: -10 + 4x = 4 + -18x + -10x Combine like terms: -18x + -10x = -28x -10 + 4x = 4 + -28x Solving -10 + 4x = 4 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -10 + 4x + 28x = 4 + -28x + 28x Combine like terms: 4x + 28x = 32x -10 + 32x = 4 + -28x + 28x Combine like terms: -28x + 28x = 0 -10 + 32x = 4 + 0 -10 + 32x = 4 Add '10' to each side of the equation. -10 + 10 + 32x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 32x = 4 + 10 32x = 4 + 10 Combine like terms: 4 + 10 = 14 32x = 14 Divide each side by '32'. x = 0.4375 Simplifying x = 0.4375
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