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Simplifying 2x + -2y = -4(x + 2) + 9 Reorder the terms: 2x + -2y = -4(2 + x) + 9 2x + -2y = (2 * -4 + x * -4) + 9 2x + -2y = (-8 + -4x) + 9 Reorder the terms: 2x + -2y = -8 + 9 + -4x Combine like terms: -8 + 9 = 1 2x + -2y = 1 + -4x Solving 2x + -2y = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2x + 4x + -2y = 1 + -4x + 4x Combine like terms: 2x + 4x = 6x 6x + -2y = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 6x + -2y = 1 + 0 6x + -2y = 1 Add '2y' to each side of the equation. 6x + -2y + 2y = 1 + 2y Combine like terms: -2y + 2y = 0 6x + 0 = 1 + 2y 6x = 1 + 2y Divide each side by '6'. x = 0.1666666667 + 0.3333333333y Simplifying x = 0.1666666667 + 0.3333333333y
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