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Simplifying 3x + 2y + 10 = 2x + y + 90 Reorder the terms: 10 + 3x + 2y = 2x + y + 90 Reorder the terms: 10 + 3x + 2y = 90 + 2x + y Solving 10 + 3x + 2y = 90 + 2x + y 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. 10 + 3x + -2x + 2y = 90 + 2x + -2x + y Combine like terms: 3x + -2x = 1x 10 + 1x + 2y = 90 + 2x + -2x + y Combine like terms: 2x + -2x = 0 10 + 1x + 2y = 90 + 0 + y 10 + 1x + 2y = 90 + y Add '-10' to each side of the equation. 10 + 1x + -10 + 2y = 90 + -10 + y Reorder the terms: 10 + -10 + 1x + 2y = 90 + -10 + y Combine like terms: 10 + -10 = 0 0 + 1x + 2y = 90 + -10 + y 1x + 2y = 90 + -10 + y Combine like terms: 90 + -10 = 80 1x + 2y = 80 + y Add '-2y' to each side of the equation. 1x + 2y + -2y = 80 + y + -2y Combine like terms: 2y + -2y = 0 1x + 0 = 80 + y + -2y 1x = 80 + y + -2y Combine like terms: y + -2y = -1y 1x = 80 + -1y Divide each side by '1'. x = 80 + -1y Simplifying x = 80 + -1y
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