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Simplifying 11x + 10y + 5 = 2(5x + 5y + 7) Reorder the terms: 5 + 11x + 10y = 2(5x + 5y + 7) Reorder the terms: 5 + 11x + 10y = 2(7 + 5x + 5y) 5 + 11x + 10y = (7 * 2 + 5x * 2 + 5y * 2) 5 + 11x + 10y = (14 + 10x + 10y) Add '-10y' to each side of the equation. 5 + 11x + 10y + -10y = 14 + 10x + 10y + -10y Combine like terms: 10y + -10y = 0 5 + 11x + 0 = 14 + 10x + 10y + -10y 5 + 11x = 14 + 10x + 10y + -10y Combine like terms: 10y + -10y = 0 5 + 11x = 14 + 10x + 0 5 + 11x = 14 + 10x Solving 5 + 11x = 14 + 10x 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. 5 + 11x + -10x = 14 + 10x + -10x Combine like terms: 11x + -10x = 1x 5 + 1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 1x = 14 + 0 5 + 1x = 14 Add '-5' to each side of the equation. 5 + -5 + 1x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 14 + -5 1x = 14 + -5 Combine like terms: 14 + -5 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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