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Simplifying -2(x + 5) = 5(2 + -1x) + 12 Reorder the terms: -2(5 + x) = 5(2 + -1x) + 12 (5 * -2 + x * -2) = 5(2 + -1x) + 12 (-10 + -2x) = 5(2 + -1x) + 12 -10 + -2x = (2 * 5 + -1x * 5) + 12 -10 + -2x = (10 + -5x) + 12 Reorder the terms: -10 + -2x = 10 + 12 + -5x Combine like terms: 10 + 12 = 22 -10 + -2x = 22 + -5x Solving -10 + -2x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -2x + 5x = 22 + -5x + 5x Combine like terms: -2x + 5x = 3x -10 + 3x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 3x = 22 + 0 -10 + 3x = 22 Add '10' to each side of the equation. -10 + 10 + 3x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 22 + 10 3x = 22 + 10 Combine like terms: 22 + 10 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667
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