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Simplifying 3(5 + -1x) = 2(18 + -3x) (5 * 3 + -1x * 3) = 2(18 + -3x) (15 + -3x) = 2(18 + -3x) 15 + -3x = (18 * 2 + -3x * 2) 15 + -3x = (36 + -6x) Solving 15 + -3x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + -3x + 6x = 36 + -6x + 6x Combine like terms: -3x + 6x = 3x 15 + 3x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 3x = 36 + 0 15 + 3x = 36 Add '-15' to each side of the equation. 15 + -15 + 3x = 36 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 36 + -15 3x = 36 + -15 Combine like terms: 36 + -15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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