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Simplifying 2(3x + -5) + 8y = 17 + -5x Reorder the terms: 2(-5 + 3x) + 8y = 17 + -5x (-5 * 2 + 3x * 2) + 8y = 17 + -5x (-10 + 6x) + 8y = 17 + -5x Solving -10 + 6x + 8y = 17 + -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. -10 + 6x + 5x + 8y = 17 + -5x + 5x Combine like terms: 6x + 5x = 11x -10 + 11x + 8y = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 11x + 8y = 17 + 0 -10 + 11x + 8y = 17 Add '10' to each side of the equation. -10 + 11x + 10 + 8y = 17 + 10 Reorder the terms: -10 + 10 + 11x + 8y = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 11x + 8y = 17 + 10 11x + 8y = 17 + 10 Combine like terms: 17 + 10 = 27 11x + 8y = 27 Add '-8y' to each side of the equation. 11x + 8y + -8y = 27 + -8y Combine like terms: 8y + -8y = 0 11x + 0 = 27 + -8y 11x = 27 + -8y Divide each side by '11'. x = 2.454545455 + -0.7272727273y Simplifying x = 2.454545455 + -0.7272727273y
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