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Simplifying 2(x + 9) + 5(2y + -1) = 8 Reorder the terms: 2(9 + x) + 5(2y + -1) = 8 (9 * 2 + x * 2) + 5(2y + -1) = 8 (18 + 2x) + 5(2y + -1) = 8 Reorder the terms: 18 + 2x + 5(-1 + 2y) = 8 18 + 2x + (-1 * 5 + 2y * 5) = 8 18 + 2x + (-5 + 10y) = 8 Reorder the terms: 18 + -5 + 2x + 10y = 8 Combine like terms: 18 + -5 = 13 13 + 2x + 10y = 8 Solving 13 + 2x + 10y = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2x + -13 + 10y = 8 + -13 Reorder the terms: 13 + -13 + 2x + 10y = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 2x + 10y = 8 + -13 2x + 10y = 8 + -13 Combine like terms: 8 + -13 = -5 2x + 10y = -5 Add '-10y' to each side of the equation. 2x + 10y + -10y = -5 + -10y Combine like terms: 10y + -10y = 0 2x + 0 = -5 + -10y 2x = -5 + -10y Divide each side by '2'. x = -2.5 + -5y Simplifying x = -2.5 + -5y
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