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Simplifying 12 + -2(x + 5) = 27 + 3x Reorder the terms: 12 + -2(5 + x) = 27 + 3x 12 + (5 * -2 + x * -2) = 27 + 3x 12 + (-10 + -2x) = 27 + 3x Combine like terms: 12 + -10 = 2 2 + -2x = 27 + 3x Solving 2 + -2x = 27 + 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. 2 + -2x + -3x = 27 + 3x + -3x Combine like terms: -2x + -3x = -5x 2 + -5x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -5x = 27 + 0 2 + -5x = 27 Add '-2' to each side of the equation. 2 + -2 + -5x = 27 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 27 + -2 -5x = 27 + -2 Combine like terms: 27 + -2 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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