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Simplifying 2(3x + -4) = 1 + -2x Reorder the terms: 2(-4 + 3x) = 1 + -2x (-4 * 2 + 3x * 2) = 1 + -2x (-8 + 6x) = 1 + -2x Solving -8 + 6x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x -8 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 8x = 1 + 0 -8 + 8x = 1 Add '8' to each side of the equation. -8 + 8 + 8x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 1 + 8 8x = 1 + 8 Combine like terms: 1 + 8 = 9 8x = 9 Divide each side by '8'. x = 1.125 Simplifying x = 1.125
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