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Simplifying 2(2x + 2y + -4) = 10x + -1y Reorder the terms: 2(-4 + 2x + 2y) = 10x + -1y (-4 * 2 + 2x * 2 + 2y * 2) = 10x + -1y (-8 + 4x + 4y) = 10x + -1y Solving -8 + 4x + 4y = 10x + -1y 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. -8 + 4x + -10x + 4y = 10x + -10x + -1y Combine like terms: 4x + -10x = -6x -8 + -6x + 4y = 10x + -10x + -1y Combine like terms: 10x + -10x = 0 -8 + -6x + 4y = 0 + -1y -8 + -6x + 4y = -1y Add '8' to each side of the equation. -8 + -6x + 8 + 4y = 8 + -1y Reorder the terms: -8 + 8 + -6x + 4y = 8 + -1y Combine like terms: -8 + 8 = 0 0 + -6x + 4y = 8 + -1y -6x + 4y = 8 + -1y Add '-4y' to each side of the equation. -6x + 4y + -4y = 8 + -1y + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = 8 + -1y + -4y -6x = 8 + -1y + -4y Combine like terms: -1y + -4y = -5y -6x = 8 + -5y Divide each side by '-6'. x = -1.333333333 + 0.8333333333y Simplifying x = -1.333333333 + 0.8333333333y
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