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Simplifying 7(x + 4) + -2(x + 4) = 15 Reorder the terms: 7(4 + x) + -2(x + 4) = 15 (4 * 7 + x * 7) + -2(x + 4) = 15 (28 + 7x) + -2(x + 4) = 15 Reorder the terms: 28 + 7x + -2(4 + x) = 15 28 + 7x + (4 * -2 + x * -2) = 15 28 + 7x + (-8 + -2x) = 15 Reorder the terms: 28 + -8 + 7x + -2x = 15 Combine like terms: 28 + -8 = 20 20 + 7x + -2x = 15 Combine like terms: 7x + -2x = 5x 20 + 5x = 15 Solving 20 + 5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 15 + -20 5x = 15 + -20 Combine like terms: 15 + -20 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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