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Simplifying x + y + 4 = 2x + 2y + 7 Reorder the terms: 4 + x + y = 2x + 2y + 7 Reorder the terms: 4 + x + y = 7 + 2x + 2y Solving 4 + x + y = 7 + 2x + 2y 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. 4 + x + -2x + y = 7 + 2x + -2x + 2y Combine like terms: x + -2x = -1x 4 + -1x + y = 7 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 4 + -1x + y = 7 + 0 + 2y 4 + -1x + y = 7 + 2y Add '-4' to each side of the equation. 4 + -1x + -4 + y = 7 + -4 + 2y Reorder the terms: 4 + -4 + -1x + y = 7 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + -1x + y = 7 + -4 + 2y -1x + y = 7 + -4 + 2y Combine like terms: 7 + -4 = 3 -1x + y = 3 + 2y Add '-1y' to each side of the equation. -1x + y + -1y = 3 + 2y + -1y Combine like terms: y + -1y = 0 -1x + 0 = 3 + 2y + -1y -1x = 3 + 2y + -1y Combine like terms: 2y + -1y = 1y -1x = 3 + 1y Divide each side by '-1'. x = -3 + -1y Simplifying x = -3 + -1y
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