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Simplifying 8(4x + -2) + 5x = 5x + 32 Reorder the terms: 8(-2 + 4x) + 5x = 5x + 32 (-2 * 8 + 4x * 8) + 5x = 5x + 32 (-16 + 32x) + 5x = 5x + 32 Combine like terms: 32x + 5x = 37x -16 + 37x = 5x + 32 Reorder the terms: -16 + 37x = 32 + 5x Solving -16 + 37x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 37x + -5x = 32 + 5x + -5x Combine like terms: 37x + -5x = 32x -16 + 32x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 32x = 32 + 0 -16 + 32x = 32 Add '16' to each side of the equation. -16 + 16 + 32x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 32x = 32 + 16 32x = 32 + 16 Combine like terms: 32 + 16 = 48 32x = 48 Divide each side by '32'. x = 1.5 Simplifying x = 1.5
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