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Simplifying 5x + 6(5x + 4) = 7x + 8(3x + -1) Reorder the terms: 5x + 6(4 + 5x) = 7x + 8(3x + -1) 5x + (4 * 6 + 5x * 6) = 7x + 8(3x + -1) 5x + (24 + 30x) = 7x + 8(3x + -1) Reorder the terms: 24 + 5x + 30x = 7x + 8(3x + -1) Combine like terms: 5x + 30x = 35x 24 + 35x = 7x + 8(3x + -1) Reorder the terms: 24 + 35x = 7x + 8(-1 + 3x) 24 + 35x = 7x + (-1 * 8 + 3x * 8) 24 + 35x = 7x + (-8 + 24x) Reorder the terms: 24 + 35x = -8 + 7x + 24x Combine like terms: 7x + 24x = 31x 24 + 35x = -8 + 31x Solving 24 + 35x = -8 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 24 + 35x + -31x = -8 + 31x + -31x Combine like terms: 35x + -31x = 4x 24 + 4x = -8 + 31x + -31x Combine like terms: 31x + -31x = 0 24 + 4x = -8 + 0 24 + 4x = -8 Add '-24' to each side of the equation. 24 + -24 + 4x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -8 + -24 4x = -8 + -24 Combine like terms: -8 + -24 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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