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Simplifying x + -1(7x + -2 + 12) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -7) Reorder the terms: x + -1(-2 + 12 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -7) Combine like terms: -2 + 12 = 10 x + -1(10 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -7) x + (10 * -1 + 7x * -1) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -7) x + (-10 + -7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -7) Reorder the terms: x + -10 + -7x + (4 + -5x + -3x) = -1(-1x + 7) + -1(6x + -7) Combine like terms: -5x + -3x = -8x x + -10 + -7x + (4 + -8x) = -1(-1x + 7) + -1(6x + -7) Remove parenthesis around (4 + -8x) x + -10 + -7x + 4 + -8x = -1(-1x + 7) + -1(6x + -7) Reorder the terms: -10 + 4 + x + -7x + -8x = -1(-1x + 7) + -1(6x + -7) Combine like terms: -10 + 4 = -6 -6 + x + -7x + -8x = -1(-1x + 7) + -1(6x + -7) Combine like terms: x + -7x = -6x -6 + -6x + -8x = -1(-1x + 7) + -1(6x + -7) Combine like terms: -6x + -8x = -14x -6 + -14x = -1(-1x + 7) + -1(6x + -7) Reorder the terms: -6 + -14x = -1(7 + -1x) + -1(6x + -7) -6 + -14x = (7 * -1 + -1x * -1) + -1(6x + -7) -6 + -14x = (-7 + 1x) + -1(6x + -7) Reorder the terms: -6 + -14x = -7 + 1x + -1(-7 + 6x) -6 + -14x = -7 + 1x + (-7 * -1 + 6x * -1) -6 + -14x = -7 + 1x + (7 + -6x) Reorder the terms: -6 + -14x = -7 + 7 + 1x + -6x Combine like terms: -7 + 7 = 0 -6 + -14x = 0 + 1x + -6x -6 + -14x = 1x + -6x Combine like terms: 1x + -6x = -5x -6 + -14x = -5x Solving -6 + -14x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -14x + 5x = -5x + 5x Combine like terms: -14x + 5x = -9x -6 + -9x = -5x + 5x Combine like terms: -5x + 5x = 0 -6 + -9x = 0 Add '6' to each side of the equation. -6 + 6 + -9x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 0 + 6 -9x = 0 + 6 Combine like terms: 0 + 6 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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