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Simplifying -31 + 8x = 5(3x + 6) Reorder the terms: -31 + 8x = 5(6 + 3x) -31 + 8x = (6 * 5 + 3x * 5) -31 + 8x = (30 + 15x) Solving -31 + 8x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -31 + 8x + -15x = 30 + 15x + -15x Combine like terms: 8x + -15x = -7x -31 + -7x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -31 + -7x = 30 + 0 -31 + -7x = 30 Add '31' to each side of the equation. -31 + 31 + -7x = 30 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = 30 + 31 -7x = 30 + 31 Combine like terms: 30 + 31 = 61 -7x = 61 Divide each side by '-7'. x = -8.714285714 Simplifying x = -8.714285714
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