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Simplifying 7x + -21y = 10x + -45y Solving 7x + -21y = 10x + -45y 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. 7x + -10x + -21y = 10x + -10x + -45y Combine like terms: 7x + -10x = -3x -3x + -21y = 10x + -10x + -45y Combine like terms: 10x + -10x = 0 -3x + -21y = 0 + -45y -3x + -21y = -45y Add '21y' to each side of the equation. -3x + -21y + 21y = -45y + 21y Combine like terms: -21y + 21y = 0 -3x + 0 = -45y + 21y -3x = -45y + 21y Combine like terms: -45y + 21y = -24y -3x = -24y Divide each side by '-3'. x = 8y Simplifying x = 8y
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