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Simplifying -32 + 4x = 7(4x + 7) + 3x Reorder the terms: -32 + 4x = 7(7 + 4x) + 3x -32 + 4x = (7 * 7 + 4x * 7) + 3x -32 + 4x = (49 + 28x) + 3x Combine like terms: 28x + 3x = 31x -32 + 4x = 49 + 31x Solving -32 + 4x = 49 + 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. -32 + 4x + -31x = 49 + 31x + -31x Combine like terms: 4x + -31x = -27x -32 + -27x = 49 + 31x + -31x Combine like terms: 31x + -31x = 0 -32 + -27x = 49 + 0 -32 + -27x = 49 Add '32' to each side of the equation. -32 + 32 + -27x = 49 + 32 Combine like terms: -32 + 32 = 0 0 + -27x = 49 + 32 -27x = 49 + 32 Combine like terms: 49 + 32 = 81 -27x = 81 Divide each side by '-27'. x = -3 Simplifying x = -3
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