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Simplifying 3 = 2(x + -6) + -3(-5 + x) Reorder the terms: 3 = 2(-6 + x) + -3(-5 + x) 3 = (-6 * 2 + x * 2) + -3(-5 + x) 3 = (-12 + 2x) + -3(-5 + x) 3 = -12 + 2x + (-5 * -3 + x * -3) 3 = -12 + 2x + (15 + -3x) Reorder the terms: 3 = -12 + 15 + 2x + -3x Combine like terms: -12 + 15 = 3 3 = 3 + 2x + -3x Combine like terms: 2x + -3x = -1x 3 = 3 + -1x Add '-3' to each side of the equation. 3 + -3 = 3 + -3 + -1x Combine like terms: 3 + -3 = 0 0 = 3 + -3 + -1x Combine like terms: 3 + -3 = 0 0 = 0 + -1x 0 = -1x Solving 0 = -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. 0 + x = -1x + x Remove the zero: x = -1x + x Combine like terms: -1x + x = 0 x = 0 Simplifying x = 0
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