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Simplifying 5x + -4(x + -8) = 10x + 24 Reorder the terms: 5x + -4(-8 + x) = 10x + 24 5x + (-8 * -4 + x * -4) = 10x + 24 5x + (32 + -4x) = 10x + 24 Reorder the terms: 32 + 5x + -4x = 10x + 24 Combine like terms: 5x + -4x = 1x 32 + 1x = 10x + 24 Reorder the terms: 32 + 1x = 24 + 10x Solving 32 + 1x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 32 + 1x + -10x = 24 + 10x + -10x Combine like terms: 1x + -10x = -9x 32 + -9x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -9x = 24 + 0 32 + -9x = 24 Add '-32' to each side of the equation. 32 + -32 + -9x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -9x = 24 + -32 -9x = 24 + -32 Combine like terms: 24 + -32 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889
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