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Simplifying 2(2x + 5) + -20 = 5(x + -1) + 2(3x + 6) Reorder the terms: 2(5 + 2x) + -20 = 5(x + -1) + 2(3x + 6) (5 * 2 + 2x * 2) + -20 = 5(x + -1) + 2(3x + 6) (10 + 4x) + -20 = 5(x + -1) + 2(3x + 6) Reorder the terms: 10 + -20 + 4x = 5(x + -1) + 2(3x + 6) Combine like terms: 10 + -20 = -10 -10 + 4x = 5(x + -1) + 2(3x + 6) Reorder the terms: -10 + 4x = 5(-1 + x) + 2(3x + 6) -10 + 4x = (-1 * 5 + x * 5) + 2(3x + 6) -10 + 4x = (-5 + 5x) + 2(3x + 6) Reorder the terms: -10 + 4x = -5 + 5x + 2(6 + 3x) -10 + 4x = -5 + 5x + (6 * 2 + 3x * 2) -10 + 4x = -5 + 5x + (12 + 6x) Reorder the terms: -10 + 4x = -5 + 12 + 5x + 6x Combine like terms: -5 + 12 = 7 -10 + 4x = 7 + 5x + 6x Combine like terms: 5x + 6x = 11x -10 + 4x = 7 + 11x Solving -10 + 4x = 7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 4x + -11x = 7 + 11x + -11x Combine like terms: 4x + -11x = -7x -10 + -7x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + -7x = 7 + 0 -10 + -7x = 7 Add '10' to each side of the equation. -10 + 10 + -7x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 7 + 10 -7x = 7 + 10 Combine like terms: 7 + 10 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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