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Simplifying 5x + -31 = 4(3x + 1) Reorder the terms: -31 + 5x = 4(3x + 1) Reorder the terms: -31 + 5x = 4(1 + 3x) -31 + 5x = (1 * 4 + 3x * 4) -31 + 5x = (4 + 12x) Solving -31 + 5x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -31 + 5x + -12x = 4 + 12x + -12x Combine like terms: 5x + -12x = -7x -31 + -7x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -31 + -7x = 4 + 0 -31 + -7x = 4 Add '31' to each side of the equation. -31 + 31 + -7x = 4 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = 4 + 31 -7x = 4 + 31 Combine like terms: 4 + 31 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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