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Simplifying 5(x + 3) + 2(x + -9) = 4 Reorder the terms: 5(3 + x) + 2(x + -9) = 4 (3 * 5 + x * 5) + 2(x + -9) = 4 (15 + 5x) + 2(x + -9) = 4 Reorder the terms: 15 + 5x + 2(-9 + x) = 4 15 + 5x + (-9 * 2 + x * 2) = 4 15 + 5x + (-18 + 2x) = 4 Reorder the terms: 15 + -18 + 5x + 2x = 4 Combine like terms: 15 + -18 = -3 -3 + 5x + 2x = 4 Combine like terms: 5x + 2x = 7x -3 + 7x = 4 Solving -3 + 7x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 4 + 3 7x = 4 + 3 Combine like terms: 4 + 3 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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