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Simplifying (x + 3) * 2 = (3x + 4) Reorder the terms: (3 + x) * 2 = (3x + 4) Reorder the terms for easier multiplication: 2(3 + x) = (3x + 4) (3 * 2 + x * 2) = (3x + 4) (6 + 2x) = (3x + 4) Reorder the terms: 6 + 2x = (4 + 3x) Remove parenthesis around (4 + 3x) 6 + 2x = 4 + 3x Solving 6 + 2x = 4 + 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. 6 + 2x + -3x = 4 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = 4 + 0 6 + -1x = 4 Add '-6' to each side of the equation. 6 + -6 + -1x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 4 + -6 -1x = 4 + -6 Combine like terms: 4 + -6 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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