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Simplifying 4(-2x + 1) = -7(x + 1) Reorder the terms: 4(1 + -2x) = -7(x + 1) (1 * 4 + -2x * 4) = -7(x + 1) (4 + -8x) = -7(x + 1) Reorder the terms: 4 + -8x = -7(1 + x) 4 + -8x = (1 * -7 + x * -7) 4 + -8x = (-7 + -7x) Solving 4 + -8x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -8x + 7x = -7 + -7x + 7x Combine like terms: -8x + 7x = -1x 4 + -1x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + -1x = -7 + 0 4 + -1x = -7 Add '-4' to each side of the equation. 4 + -4 + -1x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -7 + -4 -1x = -7 + -4 Combine like terms: -7 + -4 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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