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Simplifying 5(x + -5) + -2(12 + -1x) = 7 Reorder the terms: 5(-5 + x) + -2(12 + -1x) = 7 (-5 * 5 + x * 5) + -2(12 + -1x) = 7 (-25 + 5x) + -2(12 + -1x) = 7 -25 + 5x + (12 * -2 + -1x * -2) = 7 -25 + 5x + (-24 + 2x) = 7 Reorder the terms: -25 + -24 + 5x + 2x = 7 Combine like terms: -25 + -24 = -49 -49 + 5x + 2x = 7 Combine like terms: 5x + 2x = 7x -49 + 7x = 7 Solving -49 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 7x = 7 + 49 Combine like terms: -49 + 49 = 0 0 + 7x = 7 + 49 7x = 7 + 49 Combine like terms: 7 + 49 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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