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Simplifying 5x + 31 = 4(7 + 2x) Reorder the terms: 31 + 5x = 4(7 + 2x) 31 + 5x = (7 * 4 + 2x * 4) 31 + 5x = (28 + 8x) Solving 31 + 5x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + 5x + -8x = 28 + 8x + -8x Combine like terms: 5x + -8x = -3x 31 + -3x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -3x = 28 + 0 31 + -3x = 28 Add '-31' to each side of the equation. 31 + -31 + -3x = 28 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 28 + -31 -3x = 28 + -31 Combine like terms: 28 + -31 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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