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Simplifying -24 + 4x = 4(8x + 1) Reorder the terms: -24 + 4x = 4(1 + 8x) -24 + 4x = (1 * 4 + 8x * 4) -24 + 4x = (4 + 32x) Solving -24 + 4x = 4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -24 + 4x + -32x = 4 + 32x + -32x Combine like terms: 4x + -32x = -28x -24 + -28x = 4 + 32x + -32x Combine like terms: 32x + -32x = 0 -24 + -28x = 4 + 0 -24 + -28x = 4 Add '24' to each side of the equation. -24 + 24 + -28x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -28x = 4 + 24 -28x = 4 + 24 Combine like terms: 4 + 24 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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