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Simplifying 3(x + 10) = 2(3x + 18) Reorder the terms: 3(10 + x) = 2(3x + 18) (10 * 3 + x * 3) = 2(3x + 18) (30 + 3x) = 2(3x + 18) Reorder the terms: 30 + 3x = 2(18 + 3x) 30 + 3x = (18 * 2 + 3x * 2) 30 + 3x = (36 + 6x) Solving 30 + 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. 30 + 3x + -6x = 36 + 6x + -6x Combine like terms: 3x + -6x = -3x 30 + -3x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -3x = 36 + 0 30 + -3x = 36 Add '-30' to each side of the equation. 30 + -30 + -3x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 36 + -30 -3x = 36 + -30 Combine like terms: 36 + -30 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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