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Simplifying 3(2x + 5) = 6 + -3x Reorder the terms: 3(5 + 2x) = 6 + -3x (5 * 3 + 2x * 3) = 6 + -3x (15 + 6x) = 6 + -3x Solving 15 + 6x = 6 + -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. 15 + 6x + 3x = 6 + -3x + 3x Combine like terms: 6x + 3x = 9x 15 + 9x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 9x = 6 + 0 15 + 9x = 6 Add '-15' to each side of the equation. 15 + -15 + 9x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 6 + -15 9x = 6 + -15 Combine like terms: 6 + -15 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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