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Simplifying 3x + 2y + 10 = 1x + 4y Reorder the terms: 10 + 3x + 2y = 1x + 4y Solving 10 + 3x + 2y = 1x + 4y 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. 10 + 3x + -1x + 2y = 1x + -1x + 4y Combine like terms: 3x + -1x = 2x 10 + 2x + 2y = 1x + -1x + 4y Combine like terms: 1x + -1x = 0 10 + 2x + 2y = 0 + 4y 10 + 2x + 2y = 4y Add '-10' to each side of the equation. 10 + 2x + -10 + 2y = -10 + 4y Reorder the terms: 10 + -10 + 2x + 2y = -10 + 4y Combine like terms: 10 + -10 = 0 0 + 2x + 2y = -10 + 4y 2x + 2y = -10 + 4y Add '-2y' to each side of the equation. 2x + 2y + -2y = -10 + 4y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -10 + 4y + -2y 2x = -10 + 4y + -2y Combine like terms: 4y + -2y = 2y 2x = -10 + 2y Divide each side by '2'. x = -5 + y Simplifying x = -5 + y
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