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Simplifying (4x + -5) + -6 = 12x + -1(x + 4) + -1(3x + 7) Reorder the terms: (-5 + 4x) + -6 = 12x + -1(x + 4) + -1(3x + 7) Remove parenthesis around (-5 + 4x) -5 + 4x + -6 = 12x + -1(x + 4) + -1(3x + 7) Reorder the terms: -5 + -6 + 4x = 12x + -1(x + 4) + -1(3x + 7) Combine like terms: -5 + -6 = -11 -11 + 4x = 12x + -1(x + 4) + -1(3x + 7) Reorder the terms: -11 + 4x = 12x + -1(4 + x) + -1(3x + 7) -11 + 4x = 12x + (4 * -1 + x * -1) + -1(3x + 7) -11 + 4x = 12x + (-4 + -1x) + -1(3x + 7) Reorder the terms: -11 + 4x = 12x + -4 + -1x + -1(7 + 3x) -11 + 4x = 12x + -4 + -1x + (7 * -1 + 3x * -1) -11 + 4x = 12x + -4 + -1x + (-7 + -3x) Reorder the terms: -11 + 4x = -4 + -7 + 12x + -1x + -3x Combine like terms: -4 + -7 = -11 -11 + 4x = -11 + 12x + -1x + -3x Combine like terms: 12x + -1x = 11x -11 + 4x = -11 + 11x + -3x Combine like terms: 11x + -3x = 8x -11 + 4x = -11 + 8x Add '11' to each side of the equation. -11 + 11 + 4x = -11 + 11 + 8x Combine like terms: -11 + 11 = 0 0 + 4x = -11 + 11 + 8x 4x = -11 + 11 + 8x Combine like terms: -11 + 11 = 0 4x = 0 + 8x 4x = 8x Solving 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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