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Simplifying 3(4x + -3) + 4(x + -2) = 31 Reorder the terms: 3(-3 + 4x) + 4(x + -2) = 31 (-3 * 3 + 4x * 3) + 4(x + -2) = 31 (-9 + 12x) + 4(x + -2) = 31 Reorder the terms: -9 + 12x + 4(-2 + x) = 31 -9 + 12x + (-2 * 4 + x * 4) = 31 -9 + 12x + (-8 + 4x) = 31 Reorder the terms: -9 + -8 + 12x + 4x = 31 Combine like terms: -9 + -8 = -17 -17 + 12x + 4x = 31 Combine like terms: 12x + 4x = 16x -17 + 16x = 31 Solving -17 + 16x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 16x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 16x = 31 + 17 16x = 31 + 17 Combine like terms: 31 + 17 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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