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Simplifying -2(5 + -1x) = 7(4 + 2x) + -2 (5 * -2 + -1x * -2) = 7(4 + 2x) + -2 (-10 + 2x) = 7(4 + 2x) + -2 -10 + 2x = (4 * 7 + 2x * 7) + -2 -10 + 2x = (28 + 14x) + -2 Reorder the terms: -10 + 2x = 28 + -2 + 14x Combine like terms: 28 + -2 = 26 -10 + 2x = 26 + 14x Solving -10 + 2x = 26 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -10 + 2x + -14x = 26 + 14x + -14x Combine like terms: 2x + -14x = -12x -10 + -12x = 26 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + -12x = 26 + 0 -10 + -12x = 26 Add '10' to each side of the equation. -10 + 10 + -12x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 26 + 10 -12x = 26 + 10 Combine like terms: 26 + 10 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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