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Simplifying 3(x + -4) + -2(x + -2) = 1 Reorder the terms: 3(-4 + x) + -2(x + -2) = 1 (-4 * 3 + x * 3) + -2(x + -2) = 1 (-12 + 3x) + -2(x + -2) = 1 Reorder the terms: -12 + 3x + -2(-2 + x) = 1 -12 + 3x + (-2 * -2 + x * -2) = 1 -12 + 3x + (4 + -2x) = 1 Reorder the terms: -12 + 4 + 3x + -2x = 1 Combine like terms: -12 + 4 = -8 -8 + 3x + -2x = 1 Combine like terms: 3x + -2x = 1x -8 + 1x = 1 Solving -8 + 1x = 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 + 1x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 1 + 8 1x = 1 + 8 Combine like terms: 1 + 8 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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