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Simplifying 3(x + -8) = 2(1 + -2x) Reorder the terms: 3(-8 + x) = 2(1 + -2x) (-8 * 3 + x * 3) = 2(1 + -2x) (-24 + 3x) = 2(1 + -2x) -24 + 3x = (1 * 2 + -2x * 2) -24 + 3x = (2 + -4x) Solving -24 + 3x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + 3x + 4x = 2 + -4x + 4x Combine like terms: 3x + 4x = 7x -24 + 7x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 7x = 2 + 0 -24 + 7x = 2 Add '24' to each side of the equation. -24 + 24 + 7x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 2 + 24 7x = 2 + 24 Combine like terms: 2 + 24 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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