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Simplifying 5 = 2(3 + -2x) + -3(1 + -1x) 5 = (3 * 2 + -2x * 2) + -3(1 + -1x) 5 = (6 + -4x) + -3(1 + -1x) 5 = 6 + -4x + (1 * -3 + -1x * -3) 5 = 6 + -4x + (-3 + 3x) Reorder the terms: 5 = 6 + -3 + -4x + 3x Combine like terms: 6 + -3 = 3 5 = 3 + -4x + 3x Combine like terms: -4x + 3x = -1x 5 = 3 + -1x Solving 5 = 3 + -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. 5 + x = 3 + -1x + x Combine like terms: -1x + x = 0 5 + x = 3 + 0 5 + x = 3 Add '-5' to each side of the equation. 5 + -5 + x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + x = 3 + -5 x = 3 + -5 Combine like terms: 3 + -5 = -2 x = -2 Simplifying x = -2
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