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Simplifying 3x + 10 = 2(x + 12) Reorder the terms: 10 + 3x = 2(x + 12) Reorder the terms: 10 + 3x = 2(12 + x) 10 + 3x = (12 * 2 + x * 2) 10 + 3x = (24 + 2x) Solving 10 + 3x = 24 + 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. 10 + 3x + -2x = 24 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 24 + 0 10 + 1x = 24 Add '-10' to each side of the equation. 10 + -10 + 1x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 24 + -10 1x = 24 + -10 Combine like terms: 24 + -10 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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