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Simplifying 5(x + -1) + 8(x + -6) = 180 Reorder the terms: 5(-1 + x) + 8(x + -6) = 180 (-1 * 5 + x * 5) + 8(x + -6) = 180 (-5 + 5x) + 8(x + -6) = 180 Reorder the terms: -5 + 5x + 8(-6 + x) = 180 -5 + 5x + (-6 * 8 + x * 8) = 180 -5 + 5x + (-48 + 8x) = 180 Reorder the terms: -5 + -48 + 5x + 8x = 180 Combine like terms: -5 + -48 = -53 -53 + 5x + 8x = 180 Combine like terms: 5x + 8x = 13x -53 + 13x = 180 Solving -53 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 13x = 180 + 53 Combine like terms: -53 + 53 = 0 0 + 13x = 180 + 53 13x = 180 + 53 Combine like terms: 180 + 53 = 233 13x = 233 Divide each side by '13'. x = 17.92307692 Simplifying x = 17.92307692
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