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Simplifying 5(x + 2) = 8 + -3(4 + -1x) Reorder the terms: 5(2 + x) = 8 + -3(4 + -1x) (2 * 5 + x * 5) = 8 + -3(4 + -1x) (10 + 5x) = 8 + -3(4 + -1x) 10 + 5x = 8 + (4 * -3 + -1x * -3) 10 + 5x = 8 + (-12 + 3x) Combine like terms: 8 + -12 = -4 10 + 5x = -4 + 3x Solving 10 + 5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = -4 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = -4 + 0 10 + 2x = -4 Add '-10' to each side of the equation. 10 + -10 + 2x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -4 + -10 2x = -4 + -10 Combine like terms: -4 + -10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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