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