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Simplifying -5(3 + -2x) = x + 12 (3 * -5 + -2x * -5) = x + 12 (-15 + 10x) = x + 12 Reorder the terms: -15 + 10x = 12 + x Solving -15 + 10x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 10x + -1x = 12 + x + -1x Combine like terms: 10x + -1x = 9x -15 + 9x = 12 + x + -1x Combine like terms: x + -1x = 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 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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