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Simplifying 3(x + -4) + -2(x + 1) = 6 Reorder the terms: 3(-4 + x) + -2(x + 1) = 6 (-4 * 3 + x * 3) + -2(x + 1) = 6 (-12 + 3x) + -2(x + 1) = 6 Reorder the terms: -12 + 3x + -2(1 + x) = 6 -12 + 3x + (1 * -2 + x * -2) = 6 -12 + 3x + (-2 + -2x) = 6 Reorder the terms: -12 + -2 + 3x + -2x = 6 Combine like terms: -12 + -2 = -14 -14 + 3x + -2x = 6 Combine like terms: 3x + -2x = 1x -14 + 1x = 6 Solving -14 + 1x = 6 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 + 1x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 6 + 14 1x = 6 + 14 Combine like terms: 6 + 14 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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