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Simplifying (2x(2) + -3 + 4x(3)) + (-7 + -2x(3) + -3x(2)) = 0 Reorder the terms for easier multiplication: (2 * 2x + -3 + 4x(3)) + (-7 + -2x(3) + -3x(2)) = 0 Multiply 2 * 2 (4x + -3 + 4x(3)) + (-7 + -2x(3) + -3x(2)) = 0 Reorder the terms for easier multiplication: (4x + -3 + 4 * 3x) + (-7 + -2x(3) + -3x(2)) = 0 Multiply 4 * 3 (4x + -3 + 12x) + (-7 + -2x(3) + -3x(2)) = 0 Reorder the terms: (-3 + 4x + 12x) + (-7 + -2x(3) + -3x(2)) = 0 Combine like terms: 4x + 12x = 16x (-3 + 16x) + (-7 + -2x(3) + -3x(2)) = 0 Remove parenthesis around (-3 + 16x) -3 + 16x + (-7 + -2x(3) + -3x(2)) = 0 Reorder the terms for easier multiplication: -3 + 16x + (-7 + -2 * 3x + -3x(2)) = 0 Multiply -2 * 3 -3 + 16x + (-7 + -6x + -3x(2)) = 0 Reorder the terms for easier multiplication: -3 + 16x + (-7 + -6x + -3 * 2x) = 0 Multiply -3 * 2 -3 + 16x + (-7 + -6x + -6x) = 0 Combine like terms: -6x + -6x = -12x -3 + 16x + (-7 + -12x) = 0 Remove parenthesis around (-7 + -12x) -3 + 16x + -7 + -12x = 0 Reorder the terms: -3 + -7 + 16x + -12x = 0 Combine like terms: -3 + -7 = -10 -10 + 16x + -12x = 0 Combine like terms: 16x + -12x = 4x -10 + 4x = 0 Solving -10 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 0 + 10 4x = 0 + 10 Combine like terms: 0 + 10 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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