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