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Simplifying 7(x + 3) + -2(x + -4) = 9 Reorder the terms: 7(3 + x) + -2(x + -4) = 9 (3 * 7 + x * 7) + -2(x + -4) = 9 (21 + 7x) + -2(x + -4) = 9 Reorder the terms: 21 + 7x + -2(-4 + x) = 9 21 + 7x + (-4 * -2 + x * -2) = 9 21 + 7x + (8 + -2x) = 9 Reorder the terms: 21 + 8 + 7x + -2x = 9 Combine like terms: 21 + 8 = 29 29 + 7x + -2x = 9 Combine like terms: 7x + -2x = 5x 29 + 5x = 9 Solving 29 + 5x = 9 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 + 5x = 9 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 9 + -29 5x = 9 + -29 Combine like terms: 9 + -29 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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