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Simplifying 7(x + 2) + -5(2x + -3) = 0 Reorder the terms: 7(2 + x) + -5(2x + -3) = 0 (2 * 7 + x * 7) + -5(2x + -3) = 0 (14 + 7x) + -5(2x + -3) = 0 Reorder the terms: 14 + 7x + -5(-3 + 2x) = 0 14 + 7x + (-3 * -5 + 2x * -5) = 0 14 + 7x + (15 + -10x) = 0 Reorder the terms: 14 + 15 + 7x + -10x = 0 Combine like terms: 14 + 15 = 29 29 + 7x + -10x = 0 Combine like terms: 7x + -10x = -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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