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Simplifying -2x + 14 = -4(1 + 5x) Reorder the terms: 14 + -2x = -4(1 + 5x) 14 + -2x = (1 * -4 + 5x * -4) 14 + -2x = (-4 + -20x) Solving 14 + -2x = -4 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 14 + -2x + 20x = -4 + -20x + 20x Combine like terms: -2x + 20x = 18x 14 + 18x = -4 + -20x + 20x Combine like terms: -20x + 20x = 0 14 + 18x = -4 + 0 14 + 18x = -4 Add '-14' to each side of the equation. 14 + -14 + 18x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = -4 + -14 18x = -4 + -14 Combine like terms: -4 + -14 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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