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Simplifying 8(-2x + 12) + 4 = -10 + 2(x + 10) Reorder the terms: 8(12 + -2x) + 4 = -10 + 2(x + 10) (12 * 8 + -2x * 8) + 4 = -10 + 2(x + 10) (96 + -16x) + 4 = -10 + 2(x + 10) Reorder the terms: 96 + 4 + -16x = -10 + 2(x + 10) Combine like terms: 96 + 4 = 100 100 + -16x = -10 + 2(x + 10) Reorder the terms: 100 + -16x = -10 + 2(10 + x) 100 + -16x = -10 + (10 * 2 + x * 2) 100 + -16x = -10 + (20 + 2x) Combine like terms: -10 + 20 = 10 100 + -16x = 10 + 2x Solving 100 + -16x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 100 + -16x + -2x = 10 + 2x + -2x Combine like terms: -16x + -2x = -18x 100 + -18x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + -18x = 10 + 0 100 + -18x = 10 Add '-100' to each side of the equation. 100 + -100 + -18x = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -18x = 10 + -100 -18x = 10 + -100 Combine like terms: 10 + -100 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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