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Simplifying 3(2x + -1) = 8 + -2(4x + -1) Reorder the terms: 3(-1 + 2x) = 8 + -2(4x + -1) (-1 * 3 + 2x * 3) = 8 + -2(4x + -1) (-3 + 6x) = 8 + -2(4x + -1) Reorder the terms: -3 + 6x = 8 + -2(-1 + 4x) -3 + 6x = 8 + (-1 * -2 + 4x * -2) -3 + 6x = 8 + (2 + -8x) Combine like terms: 8 + 2 = 10 -3 + 6x = 10 + -8x Solving -3 + 6x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 6x + 8x = 10 + -8x + 8x Combine like terms: 6x + 8x = 14x -3 + 14x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 14x = 10 + 0 -3 + 14x = 10 Add '3' to each side of the equation. -3 + 3 + 14x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 10 + 3 14x = 10 + 3 Combine like terms: 10 + 3 = 13 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286
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