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Simplifying 2x + 2y = 5(x + 1) Reorder the terms: 2x + 2y = 5(1 + x) 2x + 2y = (1 * 5 + x * 5) 2x + 2y = (5 + 5x) Solving 2x + 2y = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x + 2y = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x + 2y = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x + 2y = 5 + 0 -3x + 2y = 5 Add '-2y' to each side of the equation. -3x + 2y + -2y = 5 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 5 + -2y -3x = 5 + -2y Divide each side by '-3'. x = -1.666666667 + 0.6666666667y Simplifying x = -1.666666667 + 0.6666666667y
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