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Simplifying x + x + 15 = x + 45 + x + 25 + x + 40 Reorder the terms: 15 + x + x = x + 45 + x + 25 + x + 40 Combine like terms: x + x = 2x 15 + 2x = x + 45 + x + 25 + x + 40 Reorder the terms: 15 + 2x = 45 + 25 + 40 + x + x + x Combine like terms: 45 + 25 = 70 15 + 2x = 70 + 40 + x + x + x Combine like terms: 70 + 40 = 110 15 + 2x = 110 + x + x + x Combine like terms: x + x = 2x 15 + 2x = 110 + 2x + x Combine like terms: 2x + x = 3x 15 + 2x = 110 + 3x Solving 15 + 2x = 110 + 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. 15 + 2x + -3x = 110 + 3x + -3x Combine like terms: 2x + -3x = -1x 15 + -1x = 110 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -1x = 110 + 0 15 + -1x = 110 Add '-15' to each side of the equation. 15 + -15 + -1x = 110 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 110 + -15 -1x = 110 + -15 Combine like terms: 110 + -15 = 95 -1x = 95 Divide each side by '-1'. x = -95 Simplifying x = -95
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