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Simplifying 2(4 + 5x) + 10 = -1(-5x + 12) (4 * 2 + 5x * 2) + 10 = -1(-5x + 12) (8 + 10x) + 10 = -1(-5x + 12) Reorder the terms: 8 + 10 + 10x = -1(-5x + 12) Combine like terms: 8 + 10 = 18 18 + 10x = -1(-5x + 12) Reorder the terms: 18 + 10x = -1(12 + -5x) 18 + 10x = (12 * -1 + -5x * -1) 18 + 10x = (-12 + 5x) Solving 18 + 10x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 10x + -5x = -12 + 5x + -5x Combine like terms: 10x + -5x = 5x 18 + 5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 5x = -12 + 0 18 + 5x = -12 Add '-18' to each side of the equation. 18 + -18 + 5x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -12 + -18 5x = -12 + -18 Combine like terms: -12 + -18 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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