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Simplifying 2x + 31 = 4(8x + 7) + -27 Reorder the terms: 31 + 2x = 4(8x + 7) + -27 Reorder the terms: 31 + 2x = 4(7 + 8x) + -27 31 + 2x = (7 * 4 + 8x * 4) + -27 31 + 2x = (28 + 32x) + -27 Reorder the terms: 31 + 2x = 28 + -27 + 32x Combine like terms: 28 + -27 = 1 31 + 2x = 1 + 32x Solving 31 + 2x = 1 + 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. 31 + 2x + -32x = 1 + 32x + -32x Combine like terms: 2x + -32x = -30x 31 + -30x = 1 + 32x + -32x Combine like terms: 32x + -32x = 0 31 + -30x = 1 + 0 31 + -30x = 1 Add '-31' to each side of the equation. 31 + -31 + -30x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -30x = 1 + -31 -30x = 1 + -31 Combine like terms: 1 + -31 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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