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Simplifying 8(x + 1) + -3(x + -4) = 7(2 + -1x) Reorder the terms: 8(1 + x) + -3(x + -4) = 7(2 + -1x) (1 * 8 + x * 8) + -3(x + -4) = 7(2 + -1x) (8 + 8x) + -3(x + -4) = 7(2 + -1x) Reorder the terms: 8 + 8x + -3(-4 + x) = 7(2 + -1x) 8 + 8x + (-4 * -3 + x * -3) = 7(2 + -1x) 8 + 8x + (12 + -3x) = 7(2 + -1x) Reorder the terms: 8 + 12 + 8x + -3x = 7(2 + -1x) Combine like terms: 8 + 12 = 20 20 + 8x + -3x = 7(2 + -1x) Combine like terms: 8x + -3x = 5x 20 + 5x = 7(2 + -1x) 20 + 5x = (2 * 7 + -1x * 7) 20 + 5x = (14 + -7x) Solving 20 + 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. 20 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x 20 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 12x = 14 + 0 20 + 12x = 14 Add '-20' to each side of the equation. 20 + -20 + 12x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 14 + -20 12x = 14 + -20 Combine like terms: 14 + -20 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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