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Simplifying x + -3 + x + -4 = -1(1 + 11x) + -3(-2 + -5x) Reorder the terms: -3 + -4 + x + x = -1(1 + 11x) + -3(-2 + -5x) Combine like terms: -3 + -4 = -7 -7 + x + x = -1(1 + 11x) + -3(-2 + -5x) Combine like terms: x + x = 2x -7 + 2x = -1(1 + 11x) + -3(-2 + -5x) -7 + 2x = (1 * -1 + 11x * -1) + -3(-2 + -5x) -7 + 2x = (-1 + -11x) + -3(-2 + -5x) -7 + 2x = -1 + -11x + (-2 * -3 + -5x * -3) -7 + 2x = -1 + -11x + (6 + 15x) Reorder the terms: -7 + 2x = -1 + 6 + -11x + 15x Combine like terms: -1 + 6 = 5 -7 + 2x = 5 + -11x + 15x Combine like terms: -11x + 15x = 4x -7 + 2x = 5 + 4x Solving -7 + 2x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = 5 + 0 -7 + -2x = 5 Add '7' to each side of the equation. -7 + 7 + -2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 5 + 7 -2x = 5 + 7 Combine like terms: 5 + 7 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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