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Simplifying (4x + -6) + -1(5x + -3) = -1(-3 + x) + -3x + 6 Reorder the terms: (-6 + 4x) + -1(5x + -3) = -1(-3 + x) + -3x + 6 Remove parenthesis around (-6 + 4x) -6 + 4x + -1(5x + -3) = -1(-3 + x) + -3x + 6 Reorder the terms: -6 + 4x + -1(-3 + 5x) = -1(-3 + x) + -3x + 6 -6 + 4x + (-3 * -1 + 5x * -1) = -1(-3 + x) + -3x + 6 -6 + 4x + (3 + -5x) = -1(-3 + x) + -3x + 6 Reorder the terms: -6 + 3 + 4x + -5x = -1(-3 + x) + -3x + 6 Combine like terms: -6 + 3 = -3 -3 + 4x + -5x = -1(-3 + x) + -3x + 6 Combine like terms: 4x + -5x = -1x -3 + -1x = -1(-3 + x) + -3x + 6 -3 + -1x = (-3 * -1 + x * -1) + -3x + 6 -3 + -1x = (3 + -1x) + -3x + 6 Reorder the terms: -3 + -1x = 3 + 6 + -1x + -3x Combine like terms: 3 + 6 = 9 -3 + -1x = 9 + -1x + -3x Combine like terms: -1x + -3x = -4x -3 + -1x = 9 + -4x Solving -3 + -1x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + -1x + 4x = 9 + -4x + 4x Combine like terms: -1x + 4x = 3x -3 + 3x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 3x = 9 + 0 -3 + 3x = 9 Add '3' to each side of the equation. -3 + 3 + 3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 9 + 3 3x = 9 + 3 Combine like terms: 9 + 3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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