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Simplifying 2(3x + -8) = 5(2 + -1x) Reorder the terms: 2(-8 + 3x) = 5(2 + -1x) (-8 * 2 + 3x * 2) = 5(2 + -1x) (-16 + 6x) = 5(2 + -1x) -16 + 6x = (2 * 5 + -1x * 5) -16 + 6x = (10 + -5x) Solving -16 + 6x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 6x + 5x = 10 + -5x + 5x Combine like terms: 6x + 5x = 11x -16 + 11x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 11x = 10 + 0 -16 + 11x = 10 Add '16' to each side of the equation. -16 + 16 + 11x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 10 + 16 11x = 10 + 16 Combine like terms: 10 + 16 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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