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Simplifying 6(x + -80) + -1(x + 60) = 30 + -5(x + -30) Reorder the terms: 6(-80 + x) + -1(x + 60) = 30 + -5(x + -30) (-80 * 6 + x * 6) + -1(x + 60) = 30 + -5(x + -30) (-480 + 6x) + -1(x + 60) = 30 + -5(x + -30) Reorder the terms: -480 + 6x + -1(60 + x) = 30 + -5(x + -30) -480 + 6x + (60 * -1 + x * -1) = 30 + -5(x + -30) -480 + 6x + (-60 + -1x) = 30 + -5(x + -30) Reorder the terms: -480 + -60 + 6x + -1x = 30 + -5(x + -30) Combine like terms: -480 + -60 = -540 -540 + 6x + -1x = 30 + -5(x + -30) Combine like terms: 6x + -1x = 5x -540 + 5x = 30 + -5(x + -30) Reorder the terms: -540 + 5x = 30 + -5(-30 + x) -540 + 5x = 30 + (-30 * -5 + x * -5) -540 + 5x = 30 + (150 + -5x) Combine like terms: 30 + 150 = 180 -540 + 5x = 180 + -5x Solving -540 + 5x = 180 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -540 + 5x + 5x = 180 + -5x + 5x Combine like terms: 5x + 5x = 10x -540 + 10x = 180 + -5x + 5x Combine like terms: -5x + 5x = 0 -540 + 10x = 180 + 0 -540 + 10x = 180 Add '540' to each side of the equation. -540 + 540 + 10x = 180 + 540 Combine like terms: -540 + 540 = 0 0 + 10x = 180 + 540 10x = 180 + 540 Combine like terms: 180 + 540 = 720 10x = 720 Divide each side by '10'. x = 72 Simplifying x = 72
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