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Simplifying 10x + y + -1 = 2(10y + x + -1) Reorder the terms: -1 + 10x + y = 2(10y + x + -1) Reorder the terms: -1 + 10x + y = 2(-1 + x + 10y) -1 + 10x + y = (-1 * 2 + x * 2 + 10y * 2) -1 + 10x + y = (-2 + 2x + 20y) Solving -1 + 10x + y = -2 + 2x + 20y 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. -1 + 10x + -2x + y = -2 + 2x + -2x + 20y Combine like terms: 10x + -2x = 8x -1 + 8x + y = -2 + 2x + -2x + 20y Combine like terms: 2x + -2x = 0 -1 + 8x + y = -2 + 0 + 20y -1 + 8x + y = -2 + 20y Add '1' to each side of the equation. -1 + 8x + 1 + y = -2 + 1 + 20y Reorder the terms: -1 + 1 + 8x + y = -2 + 1 + 20y Combine like terms: -1 + 1 = 0 0 + 8x + y = -2 + 1 + 20y 8x + y = -2 + 1 + 20y Combine like terms: -2 + 1 = -1 8x + y = -1 + 20y Add '-1y' to each side of the equation. 8x + y + -1y = -1 + 20y + -1y Combine like terms: y + -1y = 0 8x + 0 = -1 + 20y + -1y 8x = -1 + 20y + -1y Combine like terms: 20y + -1y = 19y 8x = -1 + 19y Divide each side by '8'. x = -0.125 + 2.375y Simplifying x = -0.125 + 2.375y
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