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Simplifying -4(-2x + 1) = 6 + -1(2x + -4) Reorder the terms: -4(1 + -2x) = 6 + -1(2x + -4) (1 * -4 + -2x * -4) = 6 + -1(2x + -4) (-4 + 8x) = 6 + -1(2x + -4) Reorder the terms: -4 + 8x = 6 + -1(-4 + 2x) -4 + 8x = 6 + (-4 * -1 + 2x * -1) -4 + 8x = 6 + (4 + -2x) Combine like terms: 6 + 4 = 10 -4 + 8x = 10 + -2x Solving -4 + 8x = 10 + -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. -4 + 8x + 2x = 10 + -2x + 2x Combine like terms: 8x + 2x = 10x -4 + 10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 10x = 10 + 0 -4 + 10x = 10 Add '4' to each side of the equation. -4 + 4 + 10x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 10 + 4 10x = 10 + 4 Combine like terms: 10 + 4 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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