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Simplifying 4x + -1y + 10 = 3x Reorder the terms: 10 + 4x + -1y = 3x Solving 10 + 4x + -1y = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 4x + -3x + -1y = 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x + -1y = 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x + -1y = 0 Add '-10' to each side of the equation. 10 + 1x + -10 + -1y = 0 + -10 Reorder the terms: 10 + -10 + 1x + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x + -1y = 0 + -10 1x + -1y = 0 + -10 Combine like terms: 0 + -10 = -10 1x + -1y = -10 Add 'y' to each side of the equation. 1x + -1y + y = -10 + y Combine like terms: -1y + y = 0 1x + 0 = -10 + y 1x = -10 + y Divide each side by '1'. x = -10 + y Simplifying x = -10 + y
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