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Simplifying 3(x + 5) + -1x = 150 + x Reorder the terms: 3(5 + x) + -1x = 150 + x (5 * 3 + x * 3) + -1x = 150 + x (15 + 3x) + -1x = 150 + x Combine like terms: 3x + -1x = 2x 15 + 2x = 150 + x Solving 15 + 2x = 150 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 2x + -1x = 150 + x + -1x Combine like terms: 2x + -1x = 1x 15 + 1x = 150 + x + -1x Combine like terms: x + -1x = 0 15 + 1x = 150 + 0 15 + 1x = 150 Add '-15' to each side of the equation. 15 + -15 + 1x = 150 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 150 + -15 1x = 150 + -15 Combine like terms: 150 + -15 = 135 1x = 135 Divide each side by '1'. x = 135 Simplifying x = 135
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