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Simplifying 5(x + 2) = 9(y + 2x) Reorder the terms: 5(2 + x) = 9(y + 2x) (2 * 5 + x * 5) = 9(y + 2x) (10 + 5x) = 9(y + 2x) Reorder the terms: 10 + 5x = 9(2x + y) 10 + 5x = (2x * 9 + y * 9) 10 + 5x = (18x + 9y) Solving 10 + 5x = 18x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10 + 5x + -18x = 18x + -18x + 9y Combine like terms: 5x + -18x = -13x 10 + -13x = 18x + -18x + 9y Combine like terms: 18x + -18x = 0 10 + -13x = 0 + 9y 10 + -13x = 9y Add '-10' to each side of the equation. 10 + -10 + -13x = -10 + 9y Combine like terms: 10 + -10 = 0 0 + -13x = -10 + 9y -13x = -10 + 9y Divide each side by '-13'. x = 0.7692307692 + -0.6923076923y Simplifying x = 0.7692307692 + -0.6923076923y
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