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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 = -27x -16 + -27x = 5x + 32 Reorder the terms: -16 + -27x = 32 + 5x Solving -16 + -27x = 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 + -27x + -5x = 32 + 5x + -5x Combine like terms: -27x + -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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