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Simplifying 4x + -7(5x + 2) + 11x = 5(3x + 6) Reorder the terms: 4x + -7(2 + 5x) + 11x = 5(3x + 6) 4x + (2 * -7 + 5x * -7) + 11x = 5(3x + 6) 4x + (-14 + -35x) + 11x = 5(3x + 6) Reorder the terms: -14 + 4x + -35x + 11x = 5(3x + 6) Combine like terms: 4x + -35x = -31x -14 + -31x + 11x = 5(3x + 6) Combine like terms: -31x + 11x = -20x -14 + -20x = 5(3x + 6) Reorder the terms: -14 + -20x = 5(6 + 3x) -14 + -20x = (6 * 5 + 3x * 5) -14 + -20x = (30 + 15x) Solving -14 + -20x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + -20x + -15x = 30 + 15x + -15x Combine like terms: -20x + -15x = -35x -14 + -35x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + -35x = 30 + 0 -14 + -35x = 30 Add '14' to each side of the equation. -14 + 14 + -35x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + -35x = 30 + 14 -35x = 30 + 14 Combine like terms: 30 + 14 = 44 -35x = 44 Divide each side by '-35'. x = -1.257142857 Simplifying x = -1.257142857
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