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Simplifying 2(15 + x) + 2x = x + 45 + x + 40 + x + 25 (15 * 2 + x * 2) + 2x = x + 45 + x + 40 + x + 25 (30 + 2x) + 2x = x + 45 + x + 40 + x + 25 Combine like terms: 2x + 2x = 4x 30 + 4x = x + 45 + x + 40 + x + 25 Reorder the terms: 30 + 4x = 45 + 40 + 25 + x + x + x Combine like terms: 45 + 40 = 85 30 + 4x = 85 + 25 + x + x + x Combine like terms: 85 + 25 = 110 30 + 4x = 110 + x + x + x Combine like terms: x + x = 2x 30 + 4x = 110 + 2x + x Combine like terms: 2x + x = 3x 30 + 4x = 110 + 3x Solving 30 + 4x = 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. 30 + 4x + -3x = 110 + 3x + -3x Combine like terms: 4x + -3x = 1x 30 + 1x = 110 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 1x = 110 + 0 30 + 1x = 110 Add '-30' to each side of the equation. 30 + -30 + 1x = 110 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 110 + -30 1x = 110 + -30 Combine like terms: 110 + -30 = 80 1x = 80 Divide each side by '1'. x = 80 Simplifying x = 80
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