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Simplifying 3x + -1y + -10 = x + 4 Reorder the terms: -10 + 3x + -1y = x + 4 Reorder the terms: -10 + 3x + -1y = 4 + x Solving -10 + 3x + -1y = 4 + x 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 + -1y = 4 + x + -1x Combine like terms: 3x + -1x = 2x -10 + 2x + -1y = 4 + x + -1x Combine like terms: x + -1x = 0 -10 + 2x + -1y = 4 + 0 -10 + 2x + -1y = 4 Add '10' to each side of the equation. -10 + 2x + 10 + -1y = 4 + 10 Reorder the terms: -10 + 10 + 2x + -1y = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + -1y = 4 + 10 2x + -1y = 4 + 10 Combine like terms: 4 + 10 = 14 2x + -1y = 14 Add 'y' to each side of the equation. 2x + -1y + y = 14 + y Combine like terms: -1y + y = 0 2x + 0 = 14 + y 2x = 14 + y Divide each side by '2'. x = 7 + 0.5y Simplifying x = 7 + 0.5y
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