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Simplifying 2(5x + -8) = 7 + -1(5 + -1x) Reorder the terms: 2(-8 + 5x) = 7 + -1(5 + -1x) (-8 * 2 + 5x * 2) = 7 + -1(5 + -1x) (-16 + 10x) = 7 + -1(5 + -1x) -16 + 10x = 7 + (5 * -1 + -1x * -1) -16 + 10x = 7 + (-5 + 1x) Combine like terms: 7 + -5 = 2 -16 + 10x = 2 + 1x Solving -16 + 10x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 10x + -1x = 2 + 1x + -1x Combine like terms: 10x + -1x = 9x -16 + 9x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + 9x = 2 + 0 -16 + 9x = 2 Add '16' to each side of the equation. -16 + 16 + 9x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 2 + 16 9x = 2 + 16 Combine like terms: 2 + 16 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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