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Simplifying 5(x + 4) + 2(x + -3) = 42 Reorder the terms: 5(4 + x) + 2(x + -3) = 42 (4 * 5 + x * 5) + 2(x + -3) = 42 (20 + 5x) + 2(x + -3) = 42 Reorder the terms: 20 + 5x + 2(-3 + x) = 42 20 + 5x + (-3 * 2 + x * 2) = 42 20 + 5x + (-6 + 2x) = 42 Reorder the terms: 20 + -6 + 5x + 2x = 42 Combine like terms: 20 + -6 = 14 14 + 5x + 2x = 42 Combine like terms: 5x + 2x = 7x 14 + 7x = 42 Solving 14 + 7x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 42 + -14 7x = 42 + -14 Combine like terms: 42 + -14 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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