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Simplifying 5x + -4(x + 8) = 10x + 8 Reorder the terms: 5x + -4(8 + x) = 10x + 8 5x + (8 * -4 + x * -4) = 10x + 8 5x + (-32 + -4x) = 10x + 8 Reorder the terms: -32 + 5x + -4x = 10x + 8 Combine like terms: 5x + -4x = 1x -32 + 1x = 10x + 8 Reorder the terms: -32 + 1x = 8 + 10x Solving -32 + 1x = 8 + 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 = 8 + 10x + -10x Combine like terms: 1x + -10x = -9x -32 + -9x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + -9x = 8 + 0 -32 + -9x = 8 Add '32' to each side of the equation. -32 + 32 + -9x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -9x = 8 + 32 -9x = 8 + 32 Combine like terms: 8 + 32 = 40 -9x = 40 Divide each side by '-9'. x = -4.444444444 Simplifying x = -4.444444444
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