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Simplifying 5(x + 8) + -1(x + 8) = 80 Reorder the terms: 5(8 + x) + -1(x + 8) = 80 (8 * 5 + x * 5) + -1(x + 8) = 80 (40 + 5x) + -1(x + 8) = 80 Reorder the terms: 40 + 5x + -1(8 + x) = 80 40 + 5x + (8 * -1 + x * -1) = 80 40 + 5x + (-8 + -1x) = 80 Reorder the terms: 40 + -8 + 5x + -1x = 80 Combine like terms: 40 + -8 = 32 32 + 5x + -1x = 80 Combine like terms: 5x + -1x = 4x 32 + 4x = 80 Solving 32 + 4x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4x = 80 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 80 + -32 4x = 80 + -32 Combine like terms: 80 + -32 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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