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Simplifying 8(x + 4) + -3(x + 1) = 7(2 + -1x) Reorder the terms: 8(4 + x) + -3(x + 1) = 7(2 + -1x) (4 * 8 + x * 8) + -3(x + 1) = 7(2 + -1x) (32 + 8x) + -3(x + 1) = 7(2 + -1x) Reorder the terms: 32 + 8x + -3(1 + x) = 7(2 + -1x) 32 + 8x + (1 * -3 + x * -3) = 7(2 + -1x) 32 + 8x + (-3 + -3x) = 7(2 + -1x) Reorder the terms: 32 + -3 + 8x + -3x = 7(2 + -1x) Combine like terms: 32 + -3 = 29 29 + 8x + -3x = 7(2 + -1x) Combine like terms: 8x + -3x = 5x 29 + 5x = 7(2 + -1x) 29 + 5x = (2 * 7 + -1x * 7) 29 + 5x = (14 + -7x) Solving 29 + 5x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 29 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x 29 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 29 + 12x = 14 + 0 29 + 12x = 14 Add '-29' to each side of the equation. 29 + -29 + 12x = 14 + -29 Combine like terms: 29 + -29 = 0 0 + 12x = 14 + -29 12x = 14 + -29 Combine like terms: 14 + -29 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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