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Simplifying 3(x + 5) = 2(3x + -15) Reorder the terms: 3(5 + x) = 2(3x + -15) (5 * 3 + x * 3) = 2(3x + -15) (15 + 3x) = 2(3x + -15) Reorder the terms: 15 + 3x = 2(-15 + 3x) 15 + 3x = (-15 * 2 + 3x * 2) 15 + 3x = (-30 + 6x) Solving 15 + 3x = -30 + 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 = -30 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = -30 + 0 15 + -3x = -30 Add '-15' to each side of the equation. 15 + -15 + -3x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -30 + -15 -3x = -30 + -15 Combine like terms: -30 + -15 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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