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Simplifying 8x + -2y + 7 = 5x + 6y + -3 Reorder the terms: 7 + 8x + -2y = 5x + 6y + -3 Reorder the terms: 7 + 8x + -2y = -3 + 5x + 6y Solving 7 + 8x + -2y = -3 + 5x + 6y 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. 7 + 8x + -5x + -2y = -3 + 5x + -5x + 6y Combine like terms: 8x + -5x = 3x 7 + 3x + -2y = -3 + 5x + -5x + 6y Combine like terms: 5x + -5x = 0 7 + 3x + -2y = -3 + 0 + 6y 7 + 3x + -2y = -3 + 6y Add '-7' to each side of the equation. 7 + 3x + -7 + -2y = -3 + -7 + 6y Reorder the terms: 7 + -7 + 3x + -2y = -3 + -7 + 6y Combine like terms: 7 + -7 = 0 0 + 3x + -2y = -3 + -7 + 6y 3x + -2y = -3 + -7 + 6y Combine like terms: -3 + -7 = -10 3x + -2y = -10 + 6y Add '2y' to each side of the equation. 3x + -2y + 2y = -10 + 6y + 2y Combine like terms: -2y + 2y = 0 3x + 0 = -10 + 6y + 2y 3x = -10 + 6y + 2y Combine like terms: 6y + 2y = 8y 3x = -10 + 8y Divide each side by '3'. x = -3.333333333 + 2.666666667y Simplifying x = -3.333333333 + 2.666666667y
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