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Simplifying 7(2x + -2) + -5(x + -1) = 0 Reorder the terms: 7(-2 + 2x) + -5(x + -1) = 0 (-2 * 7 + 2x * 7) + -5(x + -1) = 0 (-14 + 14x) + -5(x + -1) = 0 Reorder the terms: -14 + 14x + -5(-1 + x) = 0 -14 + 14x + (-1 * -5 + x * -5) = 0 -14 + 14x + (5 + -5x) = 0 Reorder the terms: -14 + 5 + 14x + -5x = 0 Combine like terms: -14 + 5 = -9 -9 + 14x + -5x = 0 Combine like terms: 14x + -5x = 9x -9 + 9x = 0 Solving -9 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 0 + 9 9x = 0 + 9 Combine like terms: 0 + 9 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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