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Simplifying 4x + -1y + 20 = -2x + -2y + 10 Reorder the terms: 20 + 4x + -1y = -2x + -2y + 10 Reorder the terms: 20 + 4x + -1y = 10 + -2x + -2y Solving 20 + 4x + -1y = 10 + -2x + -2y 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. 20 + 4x + 2x + -1y = 10 + -2x + 2x + -2y Combine like terms: 4x + 2x = 6x 20 + 6x + -1y = 10 + -2x + 2x + -2y Combine like terms: -2x + 2x = 0 20 + 6x + -1y = 10 + 0 + -2y 20 + 6x + -1y = 10 + -2y Add '-20' to each side of the equation. 20 + 6x + -20 + -1y = 10 + -20 + -2y Reorder the terms: 20 + -20 + 6x + -1y = 10 + -20 + -2y Combine like terms: 20 + -20 = 0 0 + 6x + -1y = 10 + -20 + -2y 6x + -1y = 10 + -20 + -2y Combine like terms: 10 + -20 = -10 6x + -1y = -10 + -2y Add 'y' to each side of the equation. 6x + -1y + y = -10 + -2y + y Combine like terms: -1y + y = 0 6x + 0 = -10 + -2y + y 6x = -10 + -2y + y Combine like terms: -2y + y = -1y 6x = -10 + -1y Divide each side by '6'. x = -1.666666667 + -0.1666666667y Simplifying x = -1.666666667 + -0.1666666667y
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