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Simplifying 6(x + -5) + -7(x + -5) = 0 Reorder the terms: 6(-5 + x) + -7(x + -5) = 0 (-5 * 6 + x * 6) + -7(x + -5) = 0 (-30 + 6x) + -7(x + -5) = 0 Reorder the terms: -30 + 6x + -7(-5 + x) = 0 -30 + 6x + (-5 * -7 + x * -7) = 0 -30 + 6x + (35 + -7x) = 0 Reorder the terms: -30 + 35 + 6x + -7x = 0 Combine like terms: -30 + 35 = 5 5 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x 5 + -1x = 0 Solving 5 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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