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Simplifying 5(1 + -2x) = 5x + 14 (1 * 5 + -2x * 5) = 5x + 14 (5 + -10x) = 5x + 14 Reorder the terms: 5 + -10x = 14 + 5x Solving 5 + -10x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + -10x + -5x = 14 + 5x + -5x Combine like terms: -10x + -5x = -15x 5 + -15x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -15x = 14 + 0 5 + -15x = 14 Add '-5' to each side of the equation. 5 + -5 + -15x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = 14 + -5 -15x = 14 + -5 Combine like terms: 14 + -5 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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