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Simplifying x + 8 + 2y + 5 = 2x + 3y Reorder the terms: 8 + 5 + x + 2y = 2x + 3y Combine like terms: 8 + 5 = 13 13 + x + 2y = 2x + 3y Solving 13 + x + 2y = 2x + 3y 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. 13 + x + -2x + 2y = 2x + -2x + 3y Combine like terms: x + -2x = -1x 13 + -1x + 2y = 2x + -2x + 3y Combine like terms: 2x + -2x = 0 13 + -1x + 2y = 0 + 3y 13 + -1x + 2y = 3y Add '-13' to each side of the equation. 13 + -1x + -13 + 2y = -13 + 3y Reorder the terms: 13 + -13 + -1x + 2y = -13 + 3y Combine like terms: 13 + -13 = 0 0 + -1x + 2y = -13 + 3y -1x + 2y = -13 + 3y Add '-2y' to each side of the equation. -1x + 2y + -2y = -13 + 3y + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = -13 + 3y + -2y -1x = -13 + 3y + -2y Combine like terms: 3y + -2y = 1y -1x = -13 + 1y Divide each side by '-1'. x = 13 + -1y Simplifying x = 13 + -1y
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