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Simplifying 5(1 + -2x) = x + 16 (1 * 5 + -2x * 5) = x + 16 (5 + -10x) = x + 16 Reorder the terms: 5 + -10x = 16 + x Solving 5 + -10x = 16 + 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. 5 + -10x + -1x = 16 + x + -1x Combine like terms: -10x + -1x = -11x 5 + -11x = 16 + x + -1x Combine like terms: x + -1x = 0 5 + -11x = 16 + 0 5 + -11x = 16 Add '-5' to each side of the equation. 5 + -5 + -11x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 16 + -5 -11x = 16 + -5 Combine like terms: 16 + -5 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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