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Simplifying 3x + 2 = 2(10 + 2x) Reorder the terms: 2 + 3x = 2(10 + 2x) 2 + 3x = (10 * 2 + 2x * 2) 2 + 3x = (20 + 4x) Solving 2 + 3x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 3x + -4x = 20 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = 20 + 0 2 + -1x = 20 Add '-2' to each side of the equation. 2 + -2 + -1x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 20 + -2 -1x = 20 + -2 Combine like terms: 20 + -2 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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