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Simplifying y + 13 = x + y + 10 Reorder the terms: 13 + y = x + y + 10 Reorder the terms: 13 + y = 10 + x + y Add '-1y' to each side of the equation. 13 + y + -1y = 10 + x + y + -1y Combine like terms: y + -1y = 0 13 + 0 = 10 + x + y + -1y 13 = 10 + x + y + -1y Combine like terms: y + -1y = 0 13 = 10 + x + 0 13 = 10 + x Solving 13 = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -1x = 10 + x + -1x Combine like terms: x + -1x = 0 13 + -1x = 10 + 0 13 + -1x = 10 Add '-13' to each side of the equation. 13 + -13 + -1x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 10 + -13 -1x = 10 + -13 Combine like terms: 10 + -13 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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