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Simplifying 2(x + -3) + -5(x + -7) = 0 Reorder the terms: 2(-3 + x) + -5(x + -7) = 0 (-3 * 2 + x * 2) + -5(x + -7) = 0 (-6 + 2x) + -5(x + -7) = 0 Reorder the terms: -6 + 2x + -5(-7 + x) = 0 -6 + 2x + (-7 * -5 + x * -5) = 0 -6 + 2x + (35 + -5x) = 0 Reorder the terms: -6 + 35 + 2x + -5x = 0 Combine like terms: -6 + 35 = 29 29 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x 29 + -3x = 0 Solving 29 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -3x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = 0 + -29 -3x = 0 + -29 Combine like terms: 0 + -29 = -29 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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