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Simplifying -24 + 7x = 3x + 8(4x + 4) Reorder the terms: -24 + 7x = 3x + 8(4 + 4x) -24 + 7x = 3x + (4 * 8 + 4x * 8) -24 + 7x = 3x + (32 + 32x) Reorder the terms: -24 + 7x = 32 + 3x + 32x Combine like terms: 3x + 32x = 35x -24 + 7x = 32 + 35x Solving -24 + 7x = 32 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -24 + 7x + -35x = 32 + 35x + -35x Combine like terms: 7x + -35x = -28x -24 + -28x = 32 + 35x + -35x Combine like terms: 35x + -35x = 0 -24 + -28x = 32 + 0 -24 + -28x = 32 Add '24' to each side of the equation. -24 + 24 + -28x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -28x = 32 + 24 -28x = 32 + 24 Combine like terms: 32 + 24 = 56 -28x = 56 Divide each side by '-28'. x = -2 Simplifying x = -2
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