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Simplifying 8(x + 15) + -3(x + 8) = 4(x + -1) Reorder the terms: 8(15 + x) + -3(x + 8) = 4(x + -1) (15 * 8 + x * 8) + -3(x + 8) = 4(x + -1) (120 + 8x) + -3(x + 8) = 4(x + -1) Reorder the terms: 120 + 8x + -3(8 + x) = 4(x + -1) 120 + 8x + (8 * -3 + x * -3) = 4(x + -1) 120 + 8x + (-24 + -3x) = 4(x + -1) Reorder the terms: 120 + -24 + 8x + -3x = 4(x + -1) Combine like terms: 120 + -24 = 96 96 + 8x + -3x = 4(x + -1) Combine like terms: 8x + -3x = 5x 96 + 5x = 4(x + -1) Reorder the terms: 96 + 5x = 4(-1 + x) 96 + 5x = (-1 * 4 + x * 4) 96 + 5x = (-4 + 4x) Solving 96 + 5x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 96 + 5x + -4x = -4 + 4x + -4x Combine like terms: 5x + -4x = 1x 96 + 1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 96 + 1x = -4 + 0 96 + 1x = -4 Add '-96' to each side of the equation. 96 + -96 + 1x = -4 + -96 Combine like terms: 96 + -96 = 0 0 + 1x = -4 + -96 1x = -4 + -96 Combine like terms: -4 + -96 = -100 1x = -100 Divide each side by '1'. x = -100 Simplifying x = -100
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