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Simplifying 3(x + -4) + -4(x + 6) = 6 Reorder the terms: 3(-4 + x) + -4(x + 6) = 6 (-4 * 3 + x * 3) + -4(x + 6) = 6 (-12 + 3x) + -4(x + 6) = 6 Reorder the terms: -12 + 3x + -4(6 + x) = 6 -12 + 3x + (6 * -4 + x * -4) = 6 -12 + 3x + (-24 + -4x) = 6 Reorder the terms: -12 + -24 + 3x + -4x = 6 Combine like terms: -12 + -24 = -36 -36 + 3x + -4x = 6 Combine like terms: 3x + -4x = -1x -36 + -1x = 6 Solving -36 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 6 + 36 -1x = 6 + 36 Combine like terms: 6 + 36 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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