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Simplifying 5(x + 8) + -3(x + -8) = 4(x + 8) + -3x Reorder the terms: 5(8 + x) + -3(x + -8) = 4(x + 8) + -3x (8 * 5 + x * 5) + -3(x + -8) = 4(x + 8) + -3x (40 + 5x) + -3(x + -8) = 4(x + 8) + -3x Reorder the terms: 40 + 5x + -3(-8 + x) = 4(x + 8) + -3x 40 + 5x + (-8 * -3 + x * -3) = 4(x + 8) + -3x 40 + 5x + (24 + -3x) = 4(x + 8) + -3x Reorder the terms: 40 + 24 + 5x + -3x = 4(x + 8) + -3x Combine like terms: 40 + 24 = 64 64 + 5x + -3x = 4(x + 8) + -3x Combine like terms: 5x + -3x = 2x 64 + 2x = 4(x + 8) + -3x Reorder the terms: 64 + 2x = 4(8 + x) + -3x 64 + 2x = (8 * 4 + x * 4) + -3x 64 + 2x = (32 + 4x) + -3x Combine like terms: 4x + -3x = 1x 64 + 2x = 32 + 1x Solving 64 + 2x = 32 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 64 + 2x + -1x = 32 + 1x + -1x Combine like terms: 2x + -1x = 1x 64 + 1x = 32 + 1x + -1x Combine like terms: 1x + -1x = 0 64 + 1x = 32 + 0 64 + 1x = 32 Add '-64' to each side of the equation. 64 + -64 + 1x = 32 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 32 + -64 1x = 32 + -64 Combine like terms: 32 + -64 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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