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Simplifying 6(x + 3) + -2(x + -5) = 24 Reorder the terms: 6(3 + x) + -2(x + -5) = 24 (3 * 6 + x * 6) + -2(x + -5) = 24 (18 + 6x) + -2(x + -5) = 24 Reorder the terms: 18 + 6x + -2(-5 + x) = 24 18 + 6x + (-5 * -2 + x * -2) = 24 18 + 6x + (10 + -2x) = 24 Reorder the terms: 18 + 10 + 6x + -2x = 24 Combine like terms: 18 + 10 = 28 28 + 6x + -2x = 24 Combine like terms: 6x + -2x = 4x 28 + 4x = 24 Solving 28 + 4x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4x = 24 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 24 + -28 4x = 24 + -28 Combine like terms: 24 + -28 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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