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Simplifying x + 35 + y + 44 = 2x + 10 Reorder the terms: 35 + 44 + x + y = 2x + 10 Combine like terms: 35 + 44 = 79 79 + x + y = 2x + 10 Reorder the terms: 79 + x + y = 10 + 2x Solving 79 + x + y = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 79 + x + -2x + y = 10 + 2x + -2x Combine like terms: x + -2x = -1x 79 + -1x + y = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 79 + -1x + y = 10 + 0 79 + -1x + y = 10 Add '-79' to each side of the equation. 79 + -1x + -79 + y = 10 + -79 Reorder the terms: 79 + -79 + -1x + y = 10 + -79 Combine like terms: 79 + -79 = 0 0 + -1x + y = 10 + -79 -1x + y = 10 + -79 Combine like terms: 10 + -79 = -69 -1x + y = -69 Add '-1y' to each side of the equation. -1x + y + -1y = -69 + -1y Combine like terms: y + -1y = 0 -1x + 0 = -69 + -1y -1x = -69 + -1y Divide each side by '-1'. x = 69 + y Simplifying x = 69 + y
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