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Simplifying 3(2x + 1) + -1 = 3 + -2(5x + -2) Reorder the terms: 3(1 + 2x) + -1 = 3 + -2(5x + -2) (1 * 3 + 2x * 3) + -1 = 3 + -2(5x + -2) (3 + 6x) + -1 = 3 + -2(5x + -2) Reorder the terms: 3 + -1 + 6x = 3 + -2(5x + -2) Combine like terms: 3 + -1 = 2 2 + 6x = 3 + -2(5x + -2) Reorder the terms: 2 + 6x = 3 + -2(-2 + 5x) 2 + 6x = 3 + (-2 * -2 + 5x * -2) 2 + 6x = 3 + (4 + -10x) Combine like terms: 3 + 4 = 7 2 + 6x = 7 + -10x Solving 2 + 6x = 7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 2 + 6x + 10x = 7 + -10x + 10x Combine like terms: 6x + 10x = 16x 2 + 16x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 16x = 7 + 0 2 + 16x = 7 Add '-2' to each side of the equation. 2 + -2 + 16x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 7 + -2 16x = 7 + -2 Combine like terms: 7 + -2 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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