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Simplifying 5x + 2y + -8 = -2x Reorder the terms: -8 + 5x + 2y = -2x Solving -8 + 5x + 2y = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 5x + 2x + 2y = -2x + 2x Combine like terms: 5x + 2x = 7x -8 + 7x + 2y = -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 7x + 2y = 0 Add '8' to each side of the equation. -8 + 7x + 8 + 2y = 0 + 8 Reorder the terms: -8 + 8 + 7x + 2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7x + 2y = 0 + 8 7x + 2y = 0 + 8 Combine like terms: 0 + 8 = 8 7x + 2y = 8 Add '-2y' to each side of the equation. 7x + 2y + -2y = 8 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = 8 + -2y 7x = 8 + -2y Divide each side by '7'. x = 1.142857143 + -0.2857142857y Simplifying x = 1.142857143 + -0.2857142857y
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