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Simplifying 5 = 3(-1 + -1x) + 2(x + 3) 5 = (-1 * 3 + -1x * 3) + 2(x + 3) 5 = (-3 + -3x) + 2(x + 3) Reorder the terms: 5 = -3 + -3x + 2(3 + x) 5 = -3 + -3x + (3 * 2 + x * 2) 5 = -3 + -3x + (6 + 2x) Reorder the terms: 5 = -3 + 6 + -3x + 2x Combine like terms: -3 + 6 = 3 5 = 3 + -3x + 2x Combine like terms: -3x + 2x = -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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