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Simplifying 2x + 4(y + -3) = 10y + -8x Reorder the terms: 2x + 4(-3 + y) = 10y + -8x 2x + (-3 * 4 + y * 4) = 10y + -8x 2x + (-12 + 4y) = 10y + -8x Reorder the terms: -12 + 2x + 4y = 10y + -8x Reorder the terms: -12 + 2x + 4y = -8x + 10y Solving -12 + 2x + 4y = -8x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 2x + 8x + 4y = -8x + 8x + 10y Combine like terms: 2x + 8x = 10x -12 + 10x + 4y = -8x + 8x + 10y Combine like terms: -8x + 8x = 0 -12 + 10x + 4y = 0 + 10y -12 + 10x + 4y = 10y Add '12' to each side of the equation. -12 + 10x + 12 + 4y = 12 + 10y Reorder the terms: -12 + 12 + 10x + 4y = 12 + 10y Combine like terms: -12 + 12 = 0 0 + 10x + 4y = 12 + 10y 10x + 4y = 12 + 10y Add '-4y' to each side of the equation. 10x + 4y + -4y = 12 + 10y + -4y Combine like terms: 4y + -4y = 0 10x + 0 = 12 + 10y + -4y 10x = 12 + 10y + -4y Combine like terms: 10y + -4y = 6y 10x = 12 + 6y Divide each side by '10'. x = 1.2 + 0.6y Simplifying x = 1.2 + 0.6y
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