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Simplifying (-1x + 8) = 2(4x + 5) Reorder the terms: (8 + -1x) = 2(4x + 5) Remove parenthesis around (8 + -1x) 8 + -1x = 2(4x + 5) Reorder the terms: 8 + -1x = 2(5 + 4x) 8 + -1x = (5 * 2 + 4x * 2) 8 + -1x = (10 + 8x) Solving 8 + -1x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + -1x + -8x = 10 + 8x + -8x Combine like terms: -1x + -8x = -9x 8 + -9x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -9x = 10 + 0 8 + -9x = 10 Add '-8' to each side of the equation. 8 + -8 + -9x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 10 + -8 -9x = 10 + -8 Combine like terms: 10 + -8 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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