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Simplifying 0.5(8 + -2x) = 9 + -1(10x + 6) (8 * 0.5 + -2x * 0.5) = 9 + -1(10x + 6) (4 + -1x) = 9 + -1(10x + 6) Reorder the terms: 4 + -1x = 9 + -1(6 + 10x) 4 + -1x = 9 + (6 * -1 + 10x * -1) 4 + -1x = 9 + (-6 + -10x) Combine like terms: 9 + -6 = 3 4 + -1x = 3 + -10x Solving 4 + -1x = 3 + -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. 4 + -1x + 10x = 3 + -10x + 10x Combine like terms: -1x + 10x = 9x 4 + 9x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 9x = 3 + 0 4 + 9x = 3 Add '-4' to each side of the equation. 4 + -4 + 9x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 3 + -4 9x = 3 + -4 Combine like terms: 3 + -4 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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