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Simplifying -5(x + 7) + -5(x + 7) = 0 Reorder the terms: -5(7 + x) + -5(x + 7) = 0 (7 * -5 + x * -5) + -5(x + 7) = 0 (-35 + -5x) + -5(x + 7) = 0 Reorder the terms: -35 + -5x + -5(7 + x) = 0 -35 + -5x + (7 * -5 + x * -5) = 0 -35 + -5x + (-35 + -5x) = 0 Reorder the terms: -35 + -35 + -5x + -5x = 0 Combine like terms: -35 + -35 = -70 -70 + -5x + -5x = 0 Combine like terms: -5x + -5x = -10x -70 + -10x = 0 Solving -70 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -10x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -10x = 0 + 70 -10x = 0 + 70 Combine like terms: 0 + 70 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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