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Simplifying 4(3x + 4) + -5(4 + -3x) = -31 Reorder the terms: 4(4 + 3x) + -5(4 + -3x) = -31 (4 * 4 + 3x * 4) + -5(4 + -3x) = -31 (16 + 12x) + -5(4 + -3x) = -31 16 + 12x + (4 * -5 + -3x * -5) = -31 16 + 12x + (-20 + 15x) = -31 Reorder the terms: 16 + -20 + 12x + 15x = -31 Combine like terms: 16 + -20 = -4 -4 + 12x + 15x = -31 Combine like terms: 12x + 15x = 27x -4 + 27x = -31 Solving -4 + 27x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 27x = -31 + 4 Combine like terms: -4 + 4 = 0 0 + 27x = -31 + 4 27x = -31 + 4 Combine like terms: -31 + 4 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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