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Simplifying 2(x + 5) = 3x + 12 Reorder the terms: 2(5 + x) = 3x + 12 (5 * 2 + x * 2) = 3x + 12 (10 + 2x) = 3x + 12 Reorder the terms: 10 + 2x = 12 + 3x Solving 10 + 2x = 12 + 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. 10 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 12 + 0 10 + -1x = 12 Add '-10' to each side of the equation. 10 + -10 + -1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 12 + -10 -1x = 12 + -10 Combine like terms: 12 + -10 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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