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Simplifying 76 = -8(x + -1) + 10(x + 7) Reorder the terms: 76 = -8(-1 + x) + 10(x + 7) 76 = (-1 * -8 + x * -8) + 10(x + 7) 76 = (8 + -8x) + 10(x + 7) Reorder the terms: 76 = 8 + -8x + 10(7 + x) 76 = 8 + -8x + (7 * 10 + x * 10) 76 = 8 + -8x + (70 + 10x) Reorder the terms: 76 = 8 + 70 + -8x + 10x Combine like terms: 8 + 70 = 78 76 = 78 + -8x + 10x Combine like terms: -8x + 10x = 2x 76 = 78 + 2x Solving 76 = 78 + 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. 76 + -2x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 76 + -2x = 78 + 0 76 + -2x = 78 Add '-76' to each side of the equation. 76 + -76 + -2x = 78 + -76 Combine like terms: 76 + -76 = 0 0 + -2x = 78 + -76 -2x = 78 + -76 Combine like terms: 78 + -76 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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