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Simplifying 3(2x + -8) + -1(5x + -2) = 20x + -17 Reorder the terms: 3(-8 + 2x) + -1(5x + -2) = 20x + -17 (-8 * 3 + 2x * 3) + -1(5x + -2) = 20x + -17 (-24 + 6x) + -1(5x + -2) = 20x + -17 Reorder the terms: -24 + 6x + -1(-2 + 5x) = 20x + -17 -24 + 6x + (-2 * -1 + 5x * -1) = 20x + -17 -24 + 6x + (2 + -5x) = 20x + -17 Reorder the terms: -24 + 2 + 6x + -5x = 20x + -17 Combine like terms: -24 + 2 = -22 -22 + 6x + -5x = 20x + -17 Combine like terms: 6x + -5x = 1x -22 + 1x = 20x + -17 Reorder the terms: -22 + 1x = -17 + 20x Solving -22 + 1x = -17 + 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. -22 + 1x + -20x = -17 + 20x + -20x Combine like terms: 1x + -20x = -19x -22 + -19x = -17 + 20x + -20x Combine like terms: 20x + -20x = 0 -22 + -19x = -17 + 0 -22 + -19x = -17 Add '22' to each side of the equation. -22 + 22 + -19x = -17 + 22 Combine like terms: -22 + 22 = 0 0 + -19x = -17 + 22 -19x = -17 + 22 Combine like terms: -17 + 22 = 5 -19x = 5 Divide each side by '-19'. x = -0.2631578947 Simplifying x = -0.2631578947
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