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Simplifying 2(5 + -1x) = 5(2x + -6) (5 * 2 + -1x * 2) = 5(2x + -6) (10 + -2x) = 5(2x + -6) Reorder the terms: 10 + -2x = 5(-6 + 2x) 10 + -2x = (-6 * 5 + 2x * 5) 10 + -2x = (-30 + 10x) Solving 10 + -2x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + -2x + -10x = -30 + 10x + -10x Combine like terms: -2x + -10x = -12x 10 + -12x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -12x = -30 + 0 10 + -12x = -30 Add '-10' to each side of the equation. 10 + -10 + -12x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -30 + -10 -12x = -30 + -10 Combine like terms: -30 + -10 = -40 -12x = -40 Divide each side by '-12'. x = 3.333333333 Simplifying x = 3.333333333
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