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Simplifying 540 = (x + -30) + (x + -30) + x + -1x + (x + -30) Reorder the terms: 540 = (-30 + x) + (x + -30) + x + -1x + (x + -30) Remove parenthesis around (-30 + x) 540 = -30 + x + (x + -30) + x + -1x + (x + -30) Reorder the terms: 540 = -30 + x + (-30 + x) + x + -1x + (x + -30) Remove parenthesis around (-30 + x) 540 = -30 + x + -30 + x + x + -1x + (x + -30) Reorder the terms: 540 = -30 + x + -30 + x + x + -1x + (-30 + x) Remove parenthesis around (-30 + x) 540 = -30 + x + -30 + x + x + -1x + -30 + x Reorder the terms: 540 = -30 + -30 + -30 + x + x + x + -1x + x Combine like terms: -30 + -30 = -60 540 = -60 + -30 + x + x + x + -1x + x Combine like terms: -60 + -30 = -90 540 = -90 + x + x + x + -1x + x Combine like terms: x + x = 2x 540 = -90 + 2x + x + -1x + x Combine like terms: 2x + x = 3x 540 = -90 + 3x + -1x + x Combine like terms: 3x + -1x = 2x 540 = -90 + 2x + x Combine like terms: 2x + x = 3x 540 = -90 + 3x Solving 540 = -90 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 540 + -3x = -90 + 3x + -3x Combine like terms: 3x + -3x = 0 540 + -3x = -90 + 0 540 + -3x = -90 Add '-540' to each side of the equation. 540 + -540 + -3x = -90 + -540 Combine like terms: 540 + -540 = 0 0 + -3x = -90 + -540 -3x = -90 + -540 Combine like terms: -90 + -540 = -630 -3x = -630 Divide each side by '-3'. x = 210 Simplifying x = 210
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