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Simplifying (3x + -10) + 75 + 70 + 45 + (5x + -20) = 540 Reorder the terms: (-10 + 3x) + 75 + 70 + 45 + (5x + -20) = 540 Remove parenthesis around (-10 + 3x) -10 + 3x + 75 + 70 + 45 + (5x + -20) = 540 Reorder the terms: -10 + 3x + 75 + 70 + 45 + (-20 + 5x) = 540 Remove parenthesis around (-20 + 5x) -10 + 3x + 75 + 70 + 45 + -20 + 5x = 540 Reorder the terms: -10 + 75 + 70 + 45 + -20 + 3x + 5x = 540 Combine like terms: -10 + 75 = 65 65 + 70 + 45 + -20 + 3x + 5x = 540 Combine like terms: 65 + 70 = 135 135 + 45 + -20 + 3x + 5x = 540 Combine like terms: 135 + 45 = 180 180 + -20 + 3x + 5x = 540 Combine like terms: 180 + -20 = 160 160 + 3x + 5x = 540 Combine like terms: 3x + 5x = 8x 160 + 8x = 540 Solving 160 + 8x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 8x = 540 + -160 Combine like terms: 160 + -160 = 0 0 + 8x = 540 + -160 8x = 540 + -160 Combine like terms: 540 + -160 = 380 8x = 380 Divide each side by '8'. x = 47.5 Simplifying x = 47.5
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