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Simplifying 3(2x + -1) + 5 = 5(x + 2) Reorder the terms: 3(-1 + 2x) + 5 = 5(x + 2) (-1 * 3 + 2x * 3) + 5 = 5(x + 2) (-3 + 6x) + 5 = 5(x + 2) Reorder the terms: -3 + 5 + 6x = 5(x + 2) Combine like terms: -3 + 5 = 2 2 + 6x = 5(x + 2) Reorder the terms: 2 + 6x = 5(2 + x) 2 + 6x = (2 * 5 + x * 5) 2 + 6x = (10 + 5x) Solving 2 + 6x = 10 + 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. 2 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = 10 + 0 2 + 1x = 10 Add '-2' to each side of the equation. 2 + -2 + 1x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 10 + -2 1x = 10 + -2 Combine like terms: 10 + -2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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