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Simplifying 20 + -2(3x + 4) + 2(3 + -7x) = 2(-1x + 5) + -7x + 9 Reorder the terms: 20 + -2(4 + 3x) + 2(3 + -7x) = 2(-1x + 5) + -7x + 9 20 + (4 * -2 + 3x * -2) + 2(3 + -7x) = 2(-1x + 5) + -7x + 9 20 + (-8 + -6x) + 2(3 + -7x) = 2(-1x + 5) + -7x + 9 20 + -8 + -6x + (3 * 2 + -7x * 2) = 2(-1x + 5) + -7x + 9 20 + -8 + -6x + (6 + -14x) = 2(-1x + 5) + -7x + 9 Reorder the terms: 20 + -8 + 6 + -6x + -14x = 2(-1x + 5) + -7x + 9 Combine like terms: 20 + -8 = 12 12 + 6 + -6x + -14x = 2(-1x + 5) + -7x + 9 Combine like terms: 12 + 6 = 18 18 + -6x + -14x = 2(-1x + 5) + -7x + 9 Combine like terms: -6x + -14x = -20x 18 + -20x = 2(-1x + 5) + -7x + 9 Reorder the terms: 18 + -20x = 2(5 + -1x) + -7x + 9 18 + -20x = (5 * 2 + -1x * 2) + -7x + 9 18 + -20x = (10 + -2x) + -7x + 9 Reorder the terms: 18 + -20x = 10 + 9 + -2x + -7x Combine like terms: 10 + 9 = 19 18 + -20x = 19 + -2x + -7x Combine like terms: -2x + -7x = -9x 18 + -20x = 19 + -9x Solving 18 + -20x = 19 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 18 + -20x + 9x = 19 + -9x + 9x Combine like terms: -20x + 9x = -11x 18 + -11x = 19 + -9x + 9x Combine like terms: -9x + 9x = 0 18 + -11x = 19 + 0 18 + -11x = 19 Add '-18' to each side of the equation. 18 + -18 + -11x = 19 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 19 + -18 -11x = 19 + -18 Combine like terms: 19 + -18 = 1 -11x = 1 Divide each side by '-11'. x = -0.09090909091 Simplifying x = -0.09090909091
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