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Simplifying -4(-2 + -7x) + x = 32 + 5x (-2 * -4 + -7x * -4) + x = 32 + 5x (8 + 28x) + x = 32 + 5x Combine like terms: 28x + x = 29x 8 + 29x = 32 + 5x Solving 8 + 29x = 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. 8 + 29x + -5x = 32 + 5x + -5x Combine like terms: 29x + -5x = 24x 8 + 24x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 24x = 32 + 0 8 + 24x = 32 Add '-8' to each side of the equation. 8 + -8 + 24x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = 32 + -8 24x = 32 + -8 Combine like terms: 32 + -8 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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