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Simplifying 5(3x + -3) = 2x + 12 Reorder the terms: 5(-3 + 3x) = 2x + 12 (-3 * 5 + 3x * 5) = 2x + 12 (-15 + 15x) = 2x + 12 Reorder the terms: -15 + 15x = 12 + 2x Solving -15 + 15x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 15x + -2x = 12 + 2x + -2x Combine like terms: 15x + -2x = 13x -15 + 13x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 13x = 12 + 0 -15 + 13x = 12 Add '15' to each side of the equation. -15 + 15 + 13x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 12 + 15 13x = 12 + 15 Combine like terms: 12 + 15 = 27 13x = 27 Divide each side by '13'. x = 2.076923077 Simplifying x = 2.076923077
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