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Simplifying 12x + (-4x + 6) + -3 + -1(-1x + 4) = -1(6x + 22) + -1x + (5 + -2x) Reorder the terms: 12x + (6 + -4x) + -3 + -1(-1x + 4) = -1(6x + 22) + -1x + (5 + -2x) Remove parenthesis around (6 + -4x) 12x + 6 + -4x + -3 + -1(-1x + 4) = -1(6x + 22) + -1x + (5 + -2x) Reorder the terms: 12x + 6 + -4x + -3 + -1(4 + -1x) = -1(6x + 22) + -1x + (5 + -2x) 12x + 6 + -4x + -3 + (4 * -1 + -1x * -1) = -1(6x + 22) + -1x + (5 + -2x) 12x + 6 + -4x + -3 + (-4 + 1x) = -1(6x + 22) + -1x + (5 + -2x) Reorder the terms: 6 + -3 + -4 + 12x + -4x + 1x = -1(6x + 22) + -1x + (5 + -2x) Combine like terms: 6 + -3 = 3 3 + -4 + 12x + -4x + 1x = -1(6x + 22) + -1x + (5 + -2x) Combine like terms: 3 + -4 = -1 -1 + 12x + -4x + 1x = -1(6x + 22) + -1x + (5 + -2x) Combine like terms: 12x + -4x = 8x -1 + 8x + 1x = -1(6x + 22) + -1x + (5 + -2x) Combine like terms: 8x + 1x = 9x -1 + 9x = -1(6x + 22) + -1x + (5 + -2x) Reorder the terms: -1 + 9x = -1(22 + 6x) + -1x + (5 + -2x) -1 + 9x = (22 * -1 + 6x * -1) + -1x + (5 + -2x) -1 + 9x = (-22 + -6x) + -1x + (5 + -2x) Remove parenthesis around (5 + -2x) -1 + 9x = -22 + -6x + -1x + 5 + -2x Reorder the terms: -1 + 9x = -22 + 5 + -6x + -1x + -2x Combine like terms: -22 + 5 = -17 -1 + 9x = -17 + -6x + -1x + -2x Combine like terms: -6x + -1x = -7x -1 + 9x = -17 + -7x + -2x Combine like terms: -7x + -2x = -9x -1 + 9x = -17 + -9x Solving -1 + 9x = -17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -1 + 9x + 9x = -17 + -9x + 9x Combine like terms: 9x + 9x = 18x -1 + 18x = -17 + -9x + 9x Combine like terms: -9x + 9x = 0 -1 + 18x = -17 + 0 -1 + 18x = -17 Add '1' to each side of the equation. -1 + 1 + 18x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + 18x = -17 + 1 18x = -17 + 1 Combine like terms: -17 + 1 = -16 18x = -16 Divide each side by '18'. x = -0.8888888889 Simplifying x = -0.8888888889
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