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Simplifying (4x + -12) + -1(5x + 4) = 6 Reorder the terms: (-12 + 4x) + -1(5x + 4) = 6 Remove parenthesis around (-12 + 4x) -12 + 4x + -1(5x + 4) = 6 Reorder the terms: -12 + 4x + -1(4 + 5x) = 6 -12 + 4x + (4 * -1 + 5x * -1) = 6 -12 + 4x + (-4 + -5x) = 6 Reorder the terms: -12 + -4 + 4x + -5x = 6 Combine like terms: -12 + -4 = -16 -16 + 4x + -5x = 6 Combine like terms: 4x + -5x = -1x -16 + -1x = 6 Solving -16 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 6 + 16 -1x = 6 + 16 Combine like terms: 6 + 16 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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