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Simplifying 6 + -1(10x + 2) = 8 + (2x + -10) Reorder the terms: 6 + -1(2 + 10x) = 8 + (2x + -10) 6 + (2 * -1 + 10x * -1) = 8 + (2x + -10) 6 + (-2 + -10x) = 8 + (2x + -10) Combine like terms: 6 + -2 = 4 4 + -10x = 8 + (2x + -10) Reorder the terms: 4 + -10x = 8 + (-10 + 2x) Remove parenthesis around (-10 + 2x) 4 + -10x = 8 + -10 + 2x Combine like terms: 8 + -10 = -2 4 + -10x = -2 + 2x Solving 4 + -10x = -2 + 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. 4 + -10x + -2x = -2 + 2x + -2x Combine like terms: -10x + -2x = -12x 4 + -12x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -12x = -2 + 0 4 + -12x = -2 Add '-4' to each side of the equation. 4 + -4 + -12x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -2 + -4 -12x = -2 + -4 Combine like terms: -2 + -4 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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