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Simplifying 4(-2x + 1) = x + -14 Reorder the terms: 4(1 + -2x) = x + -14 (1 * 4 + -2x * 4) = x + -14 (4 + -8x) = x + -14 Reorder the terms: 4 + -8x = -14 + x Solving 4 + -8x = -14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -8x + -1x = -14 + x + -1x Combine like terms: -8x + -1x = -9x 4 + -9x = -14 + x + -1x Combine like terms: x + -1x = 0 4 + -9x = -14 + 0 4 + -9x = -14 Add '-4' to each side of the equation. 4 + -4 + -9x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -14 + -4 -9x = -14 + -4 Combine like terms: -14 + -4 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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