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Simplifying (4 + 2x) * 3 = (5x + 1) Reorder the terms for easier multiplication: 3(4 + 2x) = (5x + 1) (4 * 3 + 2x * 3) = (5x + 1) (12 + 6x) = (5x + 1) Reorder the terms: 12 + 6x = (1 + 5x) Remove parenthesis around (1 + 5x) 12 + 6x = 1 + 5x Solving 12 + 6x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = 1 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 1 + 0 12 + 1x = 1 Add '-12' to each side of the equation. 12 + -12 + 1x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 1 + -12 1x = 1 + -12 Combine like terms: 1 + -12 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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