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Simplifying 100 = x + -20 + x + -20 + x + -20 + -10 + -15 + -10 + 20 Reorder the terms: 100 = -20 + -20 + -20 + -10 + -15 + -10 + 20 + x + x + x Combine like terms: -20 + -20 = -40 100 = -40 + -20 + -10 + -15 + -10 + 20 + x + x + x Combine like terms: -40 + -20 = -60 100 = -60 + -10 + -15 + -10 + 20 + x + x + x Combine like terms: -60 + -10 = -70 100 = -70 + -15 + -10 + 20 + x + x + x Combine like terms: -70 + -15 = -85 100 = -85 + -10 + 20 + x + x + x Combine like terms: -85 + -10 = -95 100 = -95 + 20 + x + x + x Combine like terms: -95 + 20 = -75 100 = -75 + x + x + x Combine like terms: x + x = 2x 100 = -75 + 2x + x Combine like terms: 2x + x = 3x 100 = -75 + 3x Solving 100 = -75 + 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. 100 + -3x = -75 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + -3x = -75 + 0 100 + -3x = -75 Add '-100' to each side of the equation. 100 + -100 + -3x = -75 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = -75 + -100 -3x = -75 + -100 Combine like terms: -75 + -100 = -175 -3x = -175 Divide each side by '-3'. x = 58.33333333 Simplifying x = 58.33333333
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