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Simplifying 3(2x + 3) = -3(x + -5) Reorder the terms: 3(3 + 2x) = -3(x + -5) (3 * 3 + 2x * 3) = -3(x + -5) (9 + 6x) = -3(x + -5) Reorder the terms: 9 + 6x = -3(-5 + x) 9 + 6x = (-5 * -3 + x * -3) 9 + 6x = (15 + -3x) Solving 9 + 6x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 6x + 3x = 15 + -3x + 3x Combine like terms: 6x + 3x = 9x 9 + 9x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 9x = 15 + 0 9 + 9x = 15 Add '-9' to each side of the equation. 9 + -9 + 9x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 15 + -9 9x = 15 + -9 Combine like terms: 15 + -9 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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