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Simplifying 10 + 5x + -3y + -7x + 13 + 5y = 0 Reorder the terms: 10 + 13 + 5x + -7x + -3y + 5y = 0 Combine like terms: 10 + 13 = 23 23 + 5x + -7x + -3y + 5y = 0 Combine like terms: 5x + -7x = -2x 23 + -2x + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y 23 + -2x + 2y = 0 Solving 23 + -2x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -2x + -23 + 2y = 0 + -23 Reorder the terms: 23 + -23 + -2x + 2y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2x + 2y = 0 + -23 -2x + 2y = 0 + -23 Combine like terms: 0 + -23 = -23 -2x + 2y = -23 Add '-2y' to each side of the equation. -2x + 2y + -2y = -23 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -23 + -2y -2x = -23 + -2y Divide each side by '-2'. x = 11.5 + y Simplifying x = 11.5 + y
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