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Simplifying 5y + 2x + 5x + 5 + 15 + 3y = 10x + 7y + 40 Reorder the terms: 5 + 15 + 2x + 5x + 5y + 3y = 10x + 7y + 40 Combine like terms: 5 + 15 = 20 20 + 2x + 5x + 5y + 3y = 10x + 7y + 40 Combine like terms: 2x + 5x = 7x 20 + 7x + 5y + 3y = 10x + 7y + 40 Combine like terms: 5y + 3y = 8y 20 + 7x + 8y = 10x + 7y + 40 Reorder the terms: 20 + 7x + 8y = 40 + 10x + 7y Solving 20 + 7x + 8y = 40 + 10x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 7x + -10x + 8y = 40 + 10x + -10x + 7y Combine like terms: 7x + -10x = -3x 20 + -3x + 8y = 40 + 10x + -10x + 7y Combine like terms: 10x + -10x = 0 20 + -3x + 8y = 40 + 0 + 7y 20 + -3x + 8y = 40 + 7y Add '-20' to each side of the equation. 20 + -3x + -20 + 8y = 40 + -20 + 7y Reorder the terms: 20 + -20 + -3x + 8y = 40 + -20 + 7y Combine like terms: 20 + -20 = 0 0 + -3x + 8y = 40 + -20 + 7y -3x + 8y = 40 + -20 + 7y Combine like terms: 40 + -20 = 20 -3x + 8y = 20 + 7y Add '-8y' to each side of the equation. -3x + 8y + -8y = 20 + 7y + -8y Combine like terms: 8y + -8y = 0 -3x + 0 = 20 + 7y + -8y -3x = 20 + 7y + -8y Combine like terms: 7y + -8y = -1y -3x = 20 + -1y Divide each side by '-3'. x = -6.666666667 + 0.3333333333y Simplifying x = -6.666666667 + 0.3333333333y
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