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Simplifying -8(x + -2) + 7(x + 1) = 12 Reorder the terms: -8(-2 + x) + 7(x + 1) = 12 (-2 * -8 + x * -8) + 7(x + 1) = 12 (16 + -8x) + 7(x + 1) = 12 Reorder the terms: 16 + -8x + 7(1 + x) = 12 16 + -8x + (1 * 7 + x * 7) = 12 16 + -8x + (7 + 7x) = 12 Reorder the terms: 16 + 7 + -8x + 7x = 12 Combine like terms: 16 + 7 = 23 23 + -8x + 7x = 12 Combine like terms: -8x + 7x = -1x 23 + -1x = 12 Solving 23 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 12 + -23 -1x = 12 + -23 Combine like terms: 12 + -23 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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