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Simplifying 4(-8 + 4x) = 23 + 5x (-8 * 4 + 4x * 4) = 23 + 5x (-32 + 16x) = 23 + 5x Solving -32 + 16x = 23 + 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. -32 + 16x + -5x = 23 + 5x + -5x Combine like terms: 16x + -5x = 11x -32 + 11x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 11x = 23 + 0 -32 + 11x = 23 Add '32' to each side of the equation. -32 + 32 + 11x = 23 + 32 Combine like terms: -32 + 32 = 0 0 + 11x = 23 + 32 11x = 23 + 32 Combine like terms: 23 + 32 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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