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Simplifying 400 + 2x + 2y = 10x + 10y + -72 Reorder the terms: 400 + 2x + 2y = -72 + 10x + 10y Solving 400 + 2x + 2y = -72 + 10x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 400 + 2x + -10x + 2y = -72 + 10x + -10x + 10y Combine like terms: 2x + -10x = -8x 400 + -8x + 2y = -72 + 10x + -10x + 10y Combine like terms: 10x + -10x = 0 400 + -8x + 2y = -72 + 0 + 10y 400 + -8x + 2y = -72 + 10y Add '-400' to each side of the equation. 400 + -8x + -400 + 2y = -72 + -400 + 10y Reorder the terms: 400 + -400 + -8x + 2y = -72 + -400 + 10y Combine like terms: 400 + -400 = 0 0 + -8x + 2y = -72 + -400 + 10y -8x + 2y = -72 + -400 + 10y Combine like terms: -72 + -400 = -472 -8x + 2y = -472 + 10y Add '-2y' to each side of the equation. -8x + 2y + -2y = -472 + 10y + -2y Combine like terms: 2y + -2y = 0 -8x + 0 = -472 + 10y + -2y -8x = -472 + 10y + -2y Combine like terms: 10y + -2y = 8y -8x = -472 + 8y Divide each side by '-8'. x = 59 + -1y Simplifying x = 59 + -1y
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