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Simplifying 2(5x + 8) = -1(x + 7) Reorder the terms: 2(8 + 5x) = -1(x + 7) (8 * 2 + 5x * 2) = -1(x + 7) (16 + 10x) = -1(x + 7) Reorder the terms: 16 + 10x = -1(7 + x) 16 + 10x = (7 * -1 + x * -1) 16 + 10x = (-7 + -1x) Solving 16 + 10x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16 + 10x + x = -7 + -1x + x Combine like terms: 10x + x = 11x 16 + 11x = -7 + -1x + x Combine like terms: -1x + x = 0 16 + 11x = -7 + 0 16 + 11x = -7 Add '-16' to each side of the equation. 16 + -16 + 11x = -7 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = -7 + -16 11x = -7 + -16 Combine like terms: -7 + -16 = -23 11x = -23 Divide each side by '11'. x = -2.090909091 Simplifying x = -2.090909091
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