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Simplifying -24 = 8(1 + -4x) + -4(-7x + -4) -24 = (1 * 8 + -4x * 8) + -4(-7x + -4) -24 = (8 + -32x) + -4(-7x + -4) Reorder the terms: -24 = 8 + -32x + -4(-4 + -7x) -24 = 8 + -32x + (-4 * -4 + -7x * -4) -24 = 8 + -32x + (16 + 28x) Reorder the terms: -24 = 8 + 16 + -32x + 28x Combine like terms: 8 + 16 = 24 -24 = 24 + -32x + 28x Combine like terms: -32x + 28x = -4x -24 = 24 + -4x Solving -24 = 24 + -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. -24 + 4x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 4x = 24 + 0 -24 + 4x = 24 Add '24' to each side of the equation. -24 + 24 + 4x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 24 + 24 4x = 24 + 24 Combine like terms: 24 + 24 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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