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Simplifying 3(x + -5) = 2(3x + 12) Reorder the terms: 3(-5 + x) = 2(3x + 12) (-5 * 3 + x * 3) = 2(3x + 12) (-15 + 3x) = 2(3x + 12) Reorder the terms: -15 + 3x = 2(12 + 3x) -15 + 3x = (12 * 2 + 3x * 2) -15 + 3x = (24 + 6x) Solving -15 + 3x = 24 + 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 = 24 + 6x + -6x Combine like terms: 3x + -6x = -3x -15 + -3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -3x = 24 + 0 -15 + -3x = 24 Add '15' to each side of the equation. -15 + 15 + -3x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 24 + 15 -3x = 24 + 15 Combine like terms: 24 + 15 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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