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Simplifying 4(8x + -1) = 4x + 52 Reorder the terms: 4(-1 + 8x) = 4x + 52 (-1 * 4 + 8x * 4) = 4x + 52 (-4 + 32x) = 4x + 52 Reorder the terms: -4 + 32x = 52 + 4x Solving -4 + 32x = 52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 32x + -4x = 52 + 4x + -4x Combine like terms: 32x + -4x = 28x -4 + 28x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 28x = 52 + 0 -4 + 28x = 52 Add '4' to each side of the equation. -4 + 4 + 28x = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 28x = 52 + 4 28x = 52 + 4 Combine like terms: 52 + 4 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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