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Simplifying 2x + -5 + 8x = 4(2x + 5) + 32 Reorder the terms: -5 + 2x + 8x = 4(2x + 5) + 32 Combine like terms: 2x + 8x = 10x -5 + 10x = 4(2x + 5) + 32 Reorder the terms: -5 + 10x = 4(5 + 2x) + 32 -5 + 10x = (5 * 4 + 2x * 4) + 32 -5 + 10x = (20 + 8x) + 32 Reorder the terms: -5 + 10x = 20 + 32 + 8x Combine like terms: 20 + 32 = 52 -5 + 10x = 52 + 8x Solving -5 + 10x = 52 + 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. -5 + 10x + -8x = 52 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = 52 + 0 -5 + 2x = 52 Add '5' to each side of the equation. -5 + 5 + 2x = 52 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 52 + 5 2x = 52 + 5 Combine like terms: 52 + 5 = 57 2x = 57 Divide each side by '2'. x = 28.5 Simplifying x = 28.5
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