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Simplifying 3(x + -6) + -5(x + -10) = 24 Reorder the terms: 3(-6 + x) + -5(x + -10) = 24 (-6 * 3 + x * 3) + -5(x + -10) = 24 (-18 + 3x) + -5(x + -10) = 24 Reorder the terms: -18 + 3x + -5(-10 + x) = 24 -18 + 3x + (-10 * -5 + x * -5) = 24 -18 + 3x + (50 + -5x) = 24 Reorder the terms: -18 + 50 + 3x + -5x = 24 Combine like terms: -18 + 50 = 32 32 + 3x + -5x = 24 Combine like terms: 3x + -5x = -2x 32 + -2x = 24 Solving 32 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -2x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 24 + -32 -2x = 24 + -32 Combine like terms: 24 + -32 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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