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Simplifying 5(x + 8) + 3(-1x + 8) = -2 Reorder the terms: 5(8 + x) + 3(-1x + 8) = -2 (8 * 5 + x * 5) + 3(-1x + 8) = -2 (40 + 5x) + 3(-1x + 8) = -2 Reorder the terms: 40 + 5x + 3(8 + -1x) = -2 40 + 5x + (8 * 3 + -1x * 3) = -2 40 + 5x + (24 + -3x) = -2 Reorder the terms: 40 + 24 + 5x + -3x = -2 Combine like terms: 40 + 24 = 64 64 + 5x + -3x = -2 Combine like terms: 5x + -3x = 2x 64 + 2x = -2 Solving 64 + 2x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 2x = -2 + -64 Combine like terms: 64 + -64 = 0 0 + 2x = -2 + -64 2x = -2 + -64 Combine like terms: -2 + -64 = -66 2x = -66 Divide each side by '2'. x = -33 Simplifying x = -33
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