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Simplifying -2 + -12x + -11 = 3(x + -11) + 5(7x + 4) Reorder the terms: -2 + -11 + -12x = 3(x + -11) + 5(7x + 4) Combine like terms: -2 + -11 = -13 -13 + -12x = 3(x + -11) + 5(7x + 4) Reorder the terms: -13 + -12x = 3(-11 + x) + 5(7x + 4) -13 + -12x = (-11 * 3 + x * 3) + 5(7x + 4) -13 + -12x = (-33 + 3x) + 5(7x + 4) Reorder the terms: -13 + -12x = -33 + 3x + 5(4 + 7x) -13 + -12x = -33 + 3x + (4 * 5 + 7x * 5) -13 + -12x = -33 + 3x + (20 + 35x) Reorder the terms: -13 + -12x = -33 + 20 + 3x + 35x Combine like terms: -33 + 20 = -13 -13 + -12x = -13 + 3x + 35x Combine like terms: 3x + 35x = 38x -13 + -12x = -13 + 38x Add '13' to each side of the equation. -13 + 13 + -12x = -13 + 13 + 38x Combine like terms: -13 + 13 = 0 0 + -12x = -13 + 13 + 38x -12x = -13 + 13 + 38x Combine like terms: -13 + 13 = 0 -12x = 0 + 38x -12x = 38x Solving -12x = 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -12x + -38x = 38x + -38x Combine like terms: -12x + -38x = -50x -50x = 38x + -38x Combine like terms: 38x + -38x = 0 -50x = 0 Divide each side by '-50'. x = 0.0 Simplifying x = 0.0
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