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Simplifying 3(x + -1) + -1(x + -30) + 5(x + -2) = 18 Reorder the terms: 3(-1 + x) + -1(x + -30) + 5(x + -2) = 18 (-1 * 3 + x * 3) + -1(x + -30) + 5(x + -2) = 18 (-3 + 3x) + -1(x + -30) + 5(x + -2) = 18 Reorder the terms: -3 + 3x + -1(-30 + x) + 5(x + -2) = 18 -3 + 3x + (-30 * -1 + x * -1) + 5(x + -2) = 18 -3 + 3x + (30 + -1x) + 5(x + -2) = 18 Reorder the terms: -3 + 3x + 30 + -1x + 5(-2 + x) = 18 -3 + 3x + 30 + -1x + (-2 * 5 + x * 5) = 18 -3 + 3x + 30 + -1x + (-10 + 5x) = 18 Reorder the terms: -3 + 30 + -10 + 3x + -1x + 5x = 18 Combine like terms: -3 + 30 = 27 27 + -10 + 3x + -1x + 5x = 18 Combine like terms: 27 + -10 = 17 17 + 3x + -1x + 5x = 18 Combine like terms: 3x + -1x = 2x 17 + 2x + 5x = 18 Combine like terms: 2x + 5x = 7x 17 + 7x = 18 Solving 17 + 7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = 18 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 18 + -17 7x = 18 + -17 Combine like terms: 18 + -17 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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