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Simplifying 8y + 2(4x + 5) + -5x = 7y + -11 Reorder the terms: 8y + 2(5 + 4x) + -5x = 7y + -11 8y + (5 * 2 + 4x * 2) + -5x = 7y + -11 8y + (10 + 8x) + -5x = 7y + -11 Reorder the terms: 10 + 8x + -5x + 8y = 7y + -11 Combine like terms: 8x + -5x = 3x 10 + 3x + 8y = 7y + -11 Reorder the terms: 10 + 3x + 8y = -11 + 7y Solving 10 + 3x + 8y = -11 + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3x + -10 + 8y = -11 + -10 + 7y Reorder the terms: 10 + -10 + 3x + 8y = -11 + -10 + 7y Combine like terms: 10 + -10 = 0 0 + 3x + 8y = -11 + -10 + 7y 3x + 8y = -11 + -10 + 7y Combine like terms: -11 + -10 = -21 3x + 8y = -21 + 7y Add '-8y' to each side of the equation. 3x + 8y + -8y = -21 + 7y + -8y Combine like terms: 8y + -8y = 0 3x + 0 = -21 + 7y + -8y 3x = -21 + 7y + -8y Combine like terms: 7y + -8y = -1y 3x = -21 + -1y Divide each side by '3'. x = -7 + -0.3333333333y Simplifying x = -7 + -0.3333333333y
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