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