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Simplifying 7x + 8(x + 1) = -12 + -5x Reorder the terms: 7x + 8(1 + x) = -12 + -5x 7x + (1 * 8 + x * 8) = -12 + -5x 7x + (8 + 8x) = -12 + -5x Reorder the terms: 8 + 7x + 8x = -12 + -5x Combine like terms: 7x + 8x = 15x 8 + 15x = -12 + -5x Solving 8 + 15x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 15x + 5x = -12 + -5x + 5x Combine like terms: 15x + 5x = 20x 8 + 20x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 20x = -12 + 0 8 + 20x = -12 Add '-8' to each side of the equation. 8 + -8 + 20x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 20x = -12 + -8 20x = -12 + -8 Combine like terms: -12 + -8 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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