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Simplifying 3(3x + -4) + -2(4x + -5) = 6 Reorder the terms: 3(-4 + 3x) + -2(4x + -5) = 6 (-4 * 3 + 3x * 3) + -2(4x + -5) = 6 (-12 + 9x) + -2(4x + -5) = 6 Reorder the terms: -12 + 9x + -2(-5 + 4x) = 6 -12 + 9x + (-5 * -2 + 4x * -2) = 6 -12 + 9x + (10 + -8x) = 6 Reorder the terms: -12 + 10 + 9x + -8x = 6 Combine like terms: -12 + 10 = -2 -2 + 9x + -8x = 6 Combine like terms: 9x + -8x = 1x -2 + 1x = 6 Solving -2 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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