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Simplifying -5x + 8(-4x + 4) = 3x + 32 Reorder the terms: -5x + 8(4 + -4x) = 3x + 32 -5x + (4 * 8 + -4x * 8) = 3x + 32 -5x + (32 + -32x) = 3x + 32 Reorder the terms: 32 + -5x + -32x = 3x + 32 Combine like terms: -5x + -32x = -37x 32 + -37x = 3x + 32 Reorder the terms: 32 + -37x = 32 + 3x Add '-32' to each side of the equation. 32 + -32 + -37x = 32 + -32 + 3x Combine like terms: 32 + -32 = 0 0 + -37x = 32 + -32 + 3x -37x = 32 + -32 + 3x Combine like terms: 32 + -32 = 0 -37x = 0 + 3x -37x = 3x Solving -37x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -37x + -3x = 3x + -3x Combine like terms: -37x + -3x = -40x -40x = 3x + -3x Combine like terms: 3x + -3x = 0 -40x = 0 Divide each side by '-40'. x = 0.0 Simplifying x = 0.0
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