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Simplifying 4x + -2 + -1y = 5x + 10 Reorder the terms: -2 + 4x + -1y = 5x + 10 Reorder the terms: -2 + 4x + -1y = 10 + 5x Solving -2 + 4x + -1y = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x + -1y = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x + -1y = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x + -1y = 10 + 0 -2 + -1x + -1y = 10 Add '2' to each side of the equation. -2 + -1x + 2 + -1y = 10 + 2 Reorder the terms: -2 + 2 + -1x + -1y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + -1y = 10 + 2 -1x + -1y = 10 + 2 Combine like terms: 10 + 2 = 12 -1x + -1y = 12 Add 'y' to each side of the equation. -1x + -1y + y = 12 + y Combine like terms: -1y + y = 0 -1x + 0 = 12 + y -1x = 12 + y Divide each side by '-1'. x = -12 + -1y Simplifying x = -12 + -1y
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