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Simplifying -5(x + 3) = 3(12 + 2x) Reorder the terms: -5(3 + x) = 3(12 + 2x) (3 * -5 + x * -5) = 3(12 + 2x) (-15 + -5x) = 3(12 + 2x) -15 + -5x = (12 * 3 + 2x * 3) -15 + -5x = (36 + 6x) Solving -15 + -5x = 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 + -5x + -6x = 36 + 6x + -6x Combine like terms: -5x + -6x = -11x -15 + -11x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -11x = 36 + 0 -15 + -11x = 36 Add '15' to each side of the equation. -15 + 15 + -11x = 36 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = 36 + 15 -11x = 36 + 15 Combine like terms: 36 + 15 = 51 -11x = 51 Divide each side by '-11'. x = -4.636363636 Simplifying x = -4.636363636
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