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Simplifying 14x + -31 = 4(3x + 2) Reorder the terms: -31 + 14x = 4(3x + 2) Reorder the terms: -31 + 14x = 4(2 + 3x) -31 + 14x = (2 * 4 + 3x * 4) -31 + 14x = (8 + 12x) Solving -31 + 14x = 8 + 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 + 14x + -12x = 8 + 12x + -12x Combine like terms: 14x + -12x = 2x -31 + 2x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -31 + 2x = 8 + 0 -31 + 2x = 8 Add '31' to each side of the equation. -31 + 31 + 2x = 8 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 8 + 31 2x = 8 + 31 Combine like terms: 8 + 31 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5
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