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Simplifying 3(x + 5) = -6x + 6 Reorder the terms: 3(5 + x) = -6x + 6 (5 * 3 + x * 3) = -6x + 6 (15 + 3x) = -6x + 6 Reorder the terms: 15 + 3x = 6 + -6x Solving 15 + 3x = 6 + -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 + 3x + 6x = 6 + -6x + 6x Combine like terms: 3x + 6x = 9x 15 + 9x = 6 + -6x + 6x Combine like terms: -6x + 6x = 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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