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Simplifying 20x + 5(3x + -1) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1) Reorder the terms: 20x + 5(-1 + 3x) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1) 20x + (-1 * 5 + 3x * 5) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1) 20x + (-5 + 15x) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1) Reorder the terms: 20x + -5 + 15x + -4(1 + x) + 20 + -2(x + -2) = 2 + 20(x + 1) 20x + -5 + 15x + (1 * -4 + x * -4) + 20 + -2(x + -2) = 2 + 20(x + 1) 20x + -5 + 15x + (-4 + -4x) + 20 + -2(x + -2) = 2 + 20(x + 1) Reorder the terms: 20x + -5 + 15x + -4 + -4x + 20 + -2(-2 + x) = 2 + 20(x + 1) 20x + -5 + 15x + -4 + -4x + 20 + (-2 * -2 + x * -2) = 2 + 20(x + 1) 20x + -5 + 15x + -4 + -4x + 20 + (4 + -2x) = 2 + 20(x + 1) Reorder the terms: -5 + -4 + 20 + 4 + 20x + 15x + -4x + -2x = 2 + 20(x + 1) Combine like terms: -5 + -4 = -9 -9 + 20 + 4 + 20x + 15x + -4x + -2x = 2 + 20(x + 1) Combine like terms: -9 + 20 = 11 11 + 4 + 20x + 15x + -4x + -2x = 2 + 20(x + 1) Combine like terms: 11 + 4 = 15 15 + 20x + 15x + -4x + -2x = 2 + 20(x + 1) Combine like terms: 20x + 15x = 35x 15 + 35x + -4x + -2x = 2 + 20(x + 1) Combine like terms: 35x + -4x = 31x 15 + 31x + -2x = 2 + 20(x + 1) Combine like terms: 31x + -2x = 29x 15 + 29x = 2 + 20(x + 1) Reorder the terms: 15 + 29x = 2 + 20(1 + x) 15 + 29x = 2 + (1 * 20 + x * 20) 15 + 29x = 2 + (20 + 20x) Combine like terms: 2 + 20 = 22 15 + 29x = 22 + 20x Solving 15 + 29x = 22 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 15 + 29x + -20x = 22 + 20x + -20x Combine like terms: 29x + -20x = 9x 15 + 9x = 22 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + 9x = 22 + 0 15 + 9x = 22 Add '-15' to each side of the equation. 15 + -15 + 9x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 22 + -15 9x = 22 + -15 Combine like terms: 22 + -15 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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