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Simplifying (4 + -1x) + -1(2x + 3) + (x + -4) = -1(2x + -3) + -1(7x + 7) Remove parenthesis around (4 + -1x) 4 + -1x + -1(2x + 3) + (x + -4) = -1(2x + -3) + -1(7x + 7) Reorder the terms: 4 + -1x + -1(3 + 2x) + (x + -4) = -1(2x + -3) + -1(7x + 7) 4 + -1x + (3 * -1 + 2x * -1) + (x + -4) = -1(2x + -3) + -1(7x + 7) 4 + -1x + (-3 + -2x) + (x + -4) = -1(2x + -3) + -1(7x + 7) Reorder the terms: 4 + -1x + -3 + -2x + (-4 + x) = -1(2x + -3) + -1(7x + 7) Remove parenthesis around (-4 + x) 4 + -1x + -3 + -2x + -4 + x = -1(2x + -3) + -1(7x + 7) Reorder the terms: 4 + -3 + -4 + -1x + -2x + x = -1(2x + -3) + -1(7x + 7) Combine like terms: 4 + -3 = 1 1 + -4 + -1x + -2x + x = -1(2x + -3) + -1(7x + 7) Combine like terms: 1 + -4 = -3 -3 + -1x + -2x + x = -1(2x + -3) + -1(7x + 7) Combine like terms: -1x + -2x = -3x -3 + -3x + x = -1(2x + -3) + -1(7x + 7) Combine like terms: -3x + x = -2x -3 + -2x = -1(2x + -3) + -1(7x + 7) Reorder the terms: -3 + -2x = -1(-3 + 2x) + -1(7x + 7) -3 + -2x = (-3 * -1 + 2x * -1) + -1(7x + 7) -3 + -2x = (3 + -2x) + -1(7x + 7) Reorder the terms: -3 + -2x = 3 + -2x + -1(7 + 7x) -3 + -2x = 3 + -2x + (7 * -1 + 7x * -1) -3 + -2x = 3 + -2x + (-7 + -7x) Reorder the terms: -3 + -2x = 3 + -7 + -2x + -7x Combine like terms: 3 + -7 = -4 -3 + -2x = -4 + -2x + -7x Combine like terms: -2x + -7x = -9x -3 + -2x = -4 + -9x Solving -3 + -2x = -4 + -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. -3 + -2x + 9x = -4 + -9x + 9x Combine like terms: -2x + 9x = 7x -3 + 7x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 -3 + 7x = -4 + 0 -3 + 7x = -4 Add '3' to each side of the equation. -3 + 3 + 7x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -4 + 3 7x = -4 + 3 Combine like terms: -4 + 3 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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