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Simplifying 3(x + -5) = 2x + 12 Reorder the terms: 3(-5 + x) = 2x + 12 (-5 * 3 + x * 3) = 2x + 12 (-15 + 3x) = 2x + 12 Reorder the terms: -15 + 3x = 12 + 2x Solving -15 + 3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -15 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 1x = 12 + 0 -15 + 1x = 12 Add '15' to each side of the equation. -15 + 15 + 1x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 12 + 15 1x = 12 + 15 Combine like terms: 12 + 15 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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