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Simplifying 5(x + 7) + -6(x + 6) = 0 Reorder the terms: 5(7 + x) + -6(x + 6) = 0 (7 * 5 + x * 5) + -6(x + 6) = 0 (35 + 5x) + -6(x + 6) = 0 Reorder the terms: 35 + 5x + -6(6 + x) = 0 35 + 5x + (6 * -6 + x * -6) = 0 35 + 5x + (-36 + -6x) = 0 Reorder the terms: 35 + -36 + 5x + -6x = 0 Combine like terms: 35 + -36 = -1 -1 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -1 + -1x = 0 Solving -1 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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