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Simplifying -4x + -7(x + 2) = -2(5x + 5) Reorder the terms: -4x + -7(2 + x) = -2(5x + 5) -4x + (2 * -7 + x * -7) = -2(5x + 5) -4x + (-14 + -7x) = -2(5x + 5) Reorder the terms: -14 + -4x + -7x = -2(5x + 5) Combine like terms: -4x + -7x = -11x -14 + -11x = -2(5x + 5) Reorder the terms: -14 + -11x = -2(5 + 5x) -14 + -11x = (5 * -2 + 5x * -2) -14 + -11x = (-10 + -10x) Solving -14 + -11x = -10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -14 + -11x + 10x = -10 + -10x + 10x Combine like terms: -11x + 10x = -1x -14 + -1x = -10 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + -1x = -10 + 0 -14 + -1x = -10 Add '14' to each side of the equation. -14 + 14 + -1x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -10 + 14 -1x = -10 + 14 Combine like terms: -10 + 14 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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