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Simplifying 5y + 2x + 5 + 5 + 15 + 3y = 10x + 7 + 40 Reorder the terms: 5 + 5 + 15 + 2x + 5y + 3y = 10x + 7 + 40 Combine like terms: 5 + 5 = 10 10 + 15 + 2x + 5y + 3y = 10x + 7 + 40 Combine like terms: 10 + 15 = 25 25 + 2x + 5y + 3y = 10x + 7 + 40 Combine like terms: 5y + 3y = 8y 25 + 2x + 8y = 10x + 7 + 40 Reorder the terms: 25 + 2x + 8y = 7 + 40 + 10x Combine like terms: 7 + 40 = 47 25 + 2x + 8y = 47 + 10x Solving 25 + 2x + 8y = 47 + 10x 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. 25 + 2x + -10x + 8y = 47 + 10x + -10x Combine like terms: 2x + -10x = -8x 25 + -8x + 8y = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + -8x + 8y = 47 + 0 25 + -8x + 8y = 47 Add '-25' to each side of the equation. 25 + -8x + -25 + 8y = 47 + -25 Reorder the terms: 25 + -25 + -8x + 8y = 47 + -25 Combine like terms: 25 + -25 = 0 0 + -8x + 8y = 47 + -25 -8x + 8y = 47 + -25 Combine like terms: 47 + -25 = 22 -8x + 8y = 22 Add '-8y' to each side of the equation. -8x + 8y + -8y = 22 + -8y Combine like terms: 8y + -8y = 0 -8x + 0 = 22 + -8y -8x = 22 + -8y Divide each side by '-8'. x = -2.75 + y Simplifying x = -2.75 + y
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