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Simplifying 10 + -1(10x + -14) = 2(10 + -1x) Reorder the terms: 10 + -1(-14 + 10x) = 2(10 + -1x) 10 + (-14 * -1 + 10x * -1) = 2(10 + -1x) 10 + (14 + -10x) = 2(10 + -1x) Combine like terms: 10 + 14 = 24 24 + -10x = 2(10 + -1x) 24 + -10x = (10 * 2 + -1x * 2) 24 + -10x = (20 + -2x) Solving 24 + -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. 24 + -10x + 2x = 20 + -2x + 2x Combine like terms: -10x + 2x = -8x 24 + -8x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + -8x = 20 + 0 24 + -8x = 20 Add '-24' to each side of the equation. 24 + -24 + -8x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 20 + -24 -8x = 20 + -24 Combine like terms: 20 + -24 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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