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Simplifying 4(-2x + 1) = 6 + -1(2x + 6) Reorder the terms: 4(1 + -2x) = 6 + -1(2x + 6) (1 * 4 + -2x * 4) = 6 + -1(2x + 6) (4 + -8x) = 6 + -1(2x + 6) Reorder the terms: 4 + -8x = 6 + -1(6 + 2x) 4 + -8x = 6 + (6 * -1 + 2x * -1) 4 + -8x = 6 + (-6 + -2x) Combine like terms: 6 + -6 = 0 4 + -8x = 0 + -2x 4 + -8x = -2x Solving 4 + -8x = -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 = -2x + 2x Combine like terms: -8x + 2x = -6x 4 + -6x = -2x + 2x Combine like terms: -2x + 2x = 0 4 + -6x = 0 Add '-4' to each side of the equation. 4 + -4 + -6x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 0 + -4 -6x = 0 + -4 Combine like terms: 0 + -4 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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