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Simplifying -5(2x + -3) = 2(x + 10) Reorder the terms: -5(-3 + 2x) = 2(x + 10) (-3 * -5 + 2x * -5) = 2(x + 10) (15 + -10x) = 2(x + 10) Reorder the terms: 15 + -10x = 2(10 + x) 15 + -10x = (10 * 2 + x * 2) 15 + -10x = (20 + 2x) Solving 15 + -10x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -10x + -2x = 20 + 2x + -2x Combine like terms: -10x + -2x = -12x 15 + -12x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -12x = 20 + 0 15 + -12x = 20 Add '-15' to each side of the equation. 15 + -15 + -12x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = 20 + -15 -12x = 20 + -15 Combine like terms: 20 + -15 = 5 -12x = 5 Divide each side by '-12'. x = -0.4166666667 Simplifying x = -0.4166666667
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