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Simplifying 12 + -1(5x + 3) + 7(x + 1) = 8 + -2x Reorder the terms: 12 + -1(3 + 5x) + 7(x + 1) = 8 + -2x 12 + (3 * -1 + 5x * -1) + 7(x + 1) = 8 + -2x 12 + (-3 + -5x) + 7(x + 1) = 8 + -2x Reorder the terms: 12 + -3 + -5x + 7(1 + x) = 8 + -2x 12 + -3 + -5x + (1 * 7 + x * 7) = 8 + -2x 12 + -3 + -5x + (7 + 7x) = 8 + -2x Reorder the terms: 12 + -3 + 7 + -5x + 7x = 8 + -2x Combine like terms: 12 + -3 = 9 9 + 7 + -5x + 7x = 8 + -2x Combine like terms: 9 + 7 = 16 16 + -5x + 7x = 8 + -2x Combine like terms: -5x + 7x = 2x 16 + 2x = 8 + -2x Solving 16 + 2x = 8 + -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. 16 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x 16 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 4x = 8 + 0 16 + 4x = 8 Add '-16' to each side of the equation. 16 + -16 + 4x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 8 + -16 4x = 8 + -16 Combine like terms: 8 + -16 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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