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Simplifying 5x + 2y + 6 = 8x + -8 Reorder the terms: 6 + 5x + 2y = 8x + -8 Reorder the terms: 6 + 5x + 2y = -8 + 8x Solving 6 + 5x + 2y = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 5x + -8x + 2y = -8 + 8x + -8x Combine like terms: 5x + -8x = -3x 6 + -3x + 2y = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -3x + 2y = -8 + 0 6 + -3x + 2y = -8 Add '-6' to each side of the equation. 6 + -3x + -6 + 2y = -8 + -6 Reorder the terms: 6 + -6 + -3x + 2y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -3x + 2y = -8 + -6 -3x + 2y = -8 + -6 Combine like terms: -8 + -6 = -14 -3x + 2y = -14 Add '-2y' to each side of the equation. -3x + 2y + -2y = -14 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = -14 + -2y -3x = -14 + -2y Divide each side by '-3'. x = 4.666666667 + 0.6666666667y Simplifying x = 4.666666667 + 0.6666666667y
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