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Simplifying 2(3x + -4) + -3(2 + -3x) = 31 Reorder the terms: 2(-4 + 3x) + -3(2 + -3x) = 31 (-4 * 2 + 3x * 2) + -3(2 + -3x) = 31 (-8 + 6x) + -3(2 + -3x) = 31 -8 + 6x + (2 * -3 + -3x * -3) = 31 -8 + 6x + (-6 + 9x) = 31 Reorder the terms: -8 + -6 + 6x + 9x = 31 Combine like terms: -8 + -6 = -14 -14 + 6x + 9x = 31 Combine like terms: 6x + 9x = 15x -14 + 15x = 31 Solving -14 + 15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 15x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 31 + 14 15x = 31 + 14 Combine like terms: 31 + 14 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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