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Simplifying 3(5 + -2x) + 2x = 6 + -1(x + -3) (5 * 3 + -2x * 3) + 2x = 6 + -1(x + -3) (15 + -6x) + 2x = 6 + -1(x + -3) Combine like terms: -6x + 2x = -4x 15 + -4x = 6 + -1(x + -3) Reorder the terms: 15 + -4x = 6 + -1(-3 + x) 15 + -4x = 6 + (-3 * -1 + x * -1) 15 + -4x = 6 + (3 + -1x) Combine like terms: 6 + 3 = 9 15 + -4x = 9 + -1x Solving 15 + -4x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + -4x + x = 9 + -1x + x Combine like terms: -4x + x = -3x 15 + -3x = 9 + -1x + x Combine like terms: -1x + x = 0 15 + -3x = 9 + 0 15 + -3x = 9 Add '-15' to each side of the equation. 15 + -15 + -3x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 9 + -15 -3x = 9 + -15 Combine like terms: 9 + -15 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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