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Simplifying 8(x + 7) + -3(x + -4) = 2(x + -5) Reorder the terms: 8(7 + x) + -3(x + -4) = 2(x + -5) (7 * 8 + x * 8) + -3(x + -4) = 2(x + -5) (56 + 8x) + -3(x + -4) = 2(x + -5) Reorder the terms: 56 + 8x + -3(-4 + x) = 2(x + -5) 56 + 8x + (-4 * -3 + x * -3) = 2(x + -5) 56 + 8x + (12 + -3x) = 2(x + -5) Reorder the terms: 56 + 12 + 8x + -3x = 2(x + -5) Combine like terms: 56 + 12 = 68 68 + 8x + -3x = 2(x + -5) Combine like terms: 8x + -3x = 5x 68 + 5x = 2(x + -5) Reorder the terms: 68 + 5x = 2(-5 + x) 68 + 5x = (-5 * 2 + x * 2) 68 + 5x = (-10 + 2x) Solving 68 + 5x = -10 + 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. 68 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x 68 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 68 + 3x = -10 + 0 68 + 3x = -10 Add '-68' to each side of the equation. 68 + -68 + 3x = -10 + -68 Combine like terms: 68 + -68 = 0 0 + 3x = -10 + -68 3x = -10 + -68 Combine like terms: -10 + -68 = -78 3x = -78 Divide each side by '3'. x = -26 Simplifying x = -26
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