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Simplifying 5 + -3(x + -4) = 2(3 + -2x) Reorder the terms: 5 + -3(-4 + x) = 2(3 + -2x) 5 + (-4 * -3 + x * -3) = 2(3 + -2x) 5 + (12 + -3x) = 2(3 + -2x) Combine like terms: 5 + 12 = 17 17 + -3x = 2(3 + -2x) 17 + -3x = (3 * 2 + -2x * 2) 17 + -3x = (6 + -4x) Solving 17 + -3x = 6 + -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. 17 + -3x + 4x = 6 + -4x + 4x Combine like terms: -3x + 4x = 1x 17 + 1x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 1x = 6 + 0 17 + 1x = 6 Add '-17' to each side of the equation. 17 + -17 + 1x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 6 + -17 1x = 6 + -17 Combine like terms: 6 + -17 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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