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Simplifying 7(-1x + -7) + 8(x + 8) = 12 Reorder the terms: 7(-7 + -1x) + 8(x + 8) = 12 (-7 * 7 + -1x * 7) + 8(x + 8) = 12 (-49 + -7x) + 8(x + 8) = 12 Reorder the terms: -49 + -7x + 8(8 + x) = 12 -49 + -7x + (8 * 8 + x * 8) = 12 -49 + -7x + (64 + 8x) = 12 Reorder the terms: -49 + 64 + -7x + 8x = 12 Combine like terms: -49 + 64 = 15 15 + -7x + 8x = 12 Combine like terms: -7x + 8x = 1x 15 + 1x = 12 Solving 15 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 12 + -15 1x = 12 + -15 Combine like terms: 12 + -15 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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