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Simplifying -31 + 7x = 4(6x + 5) Reorder the terms: -31 + 7x = 4(5 + 6x) -31 + 7x = (5 * 4 + 6x * 4) -31 + 7x = (20 + 24x) Solving -31 + 7x = 20 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -31 + 7x + -24x = 20 + 24x + -24x Combine like terms: 7x + -24x = -17x -31 + -17x = 20 + 24x + -24x Combine like terms: 24x + -24x = 0 -31 + -17x = 20 + 0 -31 + -17x = 20 Add '31' to each side of the equation. -31 + 31 + -17x = 20 + 31 Combine like terms: -31 + 31 = 0 0 + -17x = 20 + 31 -17x = 20 + 31 Combine like terms: 20 + 31 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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