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Simplifying 3(2x + -5) + 4x = 8x + 32 Reorder the terms: 3(-5 + 2x) + 4x = 8x + 32 (-5 * 3 + 2x * 3) + 4x = 8x + 32 (-15 + 6x) + 4x = 8x + 32 Combine like terms: 6x + 4x = 10x -15 + 10x = 8x + 32 Reorder the terms: -15 + 10x = 32 + 8x Solving -15 + 10x = 32 + 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. -15 + 10x + -8x = 32 + 8x + -8x Combine like terms: 10x + -8x = 2x -15 + 2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 2x = 32 + 0 -15 + 2x = 32 Add '15' to each side of the equation. -15 + 15 + 2x = 32 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 32 + 15 2x = 32 + 15 Combine like terms: 32 + 15 = 47 2x = 47 Divide each side by '2'. x = 23.5 Simplifying x = 23.5
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