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Simplifying 3(x + -4) + -2(3x + -2) = 1 Reorder the terms: 3(-4 + x) + -2(3x + -2) = 1 (-4 * 3 + x * 3) + -2(3x + -2) = 1 (-12 + 3x) + -2(3x + -2) = 1 Reorder the terms: -12 + 3x + -2(-2 + 3x) = 1 -12 + 3x + (-2 * -2 + 3x * -2) = 1 -12 + 3x + (4 + -6x) = 1 Reorder the terms: -12 + 4 + 3x + -6x = 1 Combine like terms: -12 + 4 = -8 -8 + 3x + -6x = 1 Combine like terms: 3x + -6x = -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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