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Simplifying 4(-2x + 1) = 6x + 18 Reorder the terms: 4(1 + -2x) = 6x + 18 (1 * 4 + -2x * 4) = 6x + 18 (4 + -8x) = 6x + 18 Reorder the terms: 4 + -8x = 18 + 6x Solving 4 + -8x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -8x + -6x = 18 + 6x + -6x Combine like terms: -8x + -6x = -14x 4 + -14x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -14x = 18 + 0 4 + -14x = 18 Add '-4' to each side of the equation. 4 + -4 + -14x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 18 + -4 -14x = 18 + -4 Combine like terms: 18 + -4 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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