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Simplifying 3(2x + -1) + 4 = 5(x + 4) + 2 Reorder the terms: 3(-1 + 2x) + 4 = 5(x + 4) + 2 (-1 * 3 + 2x * 3) + 4 = 5(x + 4) + 2 (-3 + 6x) + 4 = 5(x + 4) + 2 Reorder the terms: -3 + 4 + 6x = 5(x + 4) + 2 Combine like terms: -3 + 4 = 1 1 + 6x = 5(x + 4) + 2 Reorder the terms: 1 + 6x = 5(4 + x) + 2 1 + 6x = (4 * 5 + x * 5) + 2 1 + 6x = (20 + 5x) + 2 Reorder the terms: 1 + 6x = 20 + 2 + 5x Combine like terms: 20 + 2 = 22 1 + 6x = 22 + 5x Solving 1 + 6x = 22 + 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. 1 + 6x + -5x = 22 + 5x + -5x Combine like terms: 6x + -5x = 1x 1 + 1x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 1x = 22 + 0 1 + 1x = 22 Add '-1' to each side of the equation. 1 + -1 + 1x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 22 + -1 1x = 22 + -1 Combine like terms: 22 + -1 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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