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Simplifying 5(x + 11) = 10(x + 7) Reorder the terms: 5(11 + x) = 10(x + 7) (11 * 5 + x * 5) = 10(x + 7) (55 + 5x) = 10(x + 7) Reorder the terms: 55 + 5x = 10(7 + x) 55 + 5x = (7 * 10 + x * 10) 55 + 5x = (70 + 10x) Solving 55 + 5x = 70 + 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. 55 + 5x + -10x = 70 + 10x + -10x Combine like terms: 5x + -10x = -5x 55 + -5x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 55 + -5x = 70 + 0 55 + -5x = 70 Add '-55' to each side of the equation. 55 + -55 + -5x = 70 + -55 Combine like terms: 55 + -55 = 0 0 + -5x = 70 + -55 -5x = 70 + -55 Combine like terms: 70 + -55 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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