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Simplifying (-5x + 2) + -1(2x + -10) = 5 Reorder the terms: (2 + -5x) + -1(2x + -10) = 5 Remove parenthesis around (2 + -5x) 2 + -5x + -1(2x + -10) = 5 Reorder the terms: 2 + -5x + -1(-10 + 2x) = 5 2 + -5x + (-10 * -1 + 2x * -1) = 5 2 + -5x + (10 + -2x) = 5 Reorder the terms: 2 + 10 + -5x + -2x = 5 Combine like terms: 2 + 10 = 12 12 + -5x + -2x = 5 Combine like terms: -5x + -2x = -7x 12 + -7x = 5 Solving 12 + -7x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 5 + -12 -7x = 5 + -12 Combine like terms: 5 + -12 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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