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Simplifying 5(x + 3) = 2(6 + -2x) Reorder the terms: 5(3 + x) = 2(6 + -2x) (3 * 5 + x * 5) = 2(6 + -2x) (15 + 5x) = 2(6 + -2x) 15 + 5x = (6 * 2 + -2x * 2) 15 + 5x = (12 + -4x) Solving 15 + 5x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 5x + 4x = 12 + -4x + 4x Combine like terms: 5x + 4x = 9x 15 + 9x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 9x = 12 + 0 15 + 9x = 12 Add '-15' to each side of the equation. 15 + -15 + 9x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 12 + -15 9x = 12 + -15 Combine like terms: 12 + -15 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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