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Simplifying 2(x + 10) = 4(x + 5) + -11x Reorder the terms: 2(10 + x) = 4(x + 5) + -11x (10 * 2 + x * 2) = 4(x + 5) + -11x (20 + 2x) = 4(x + 5) + -11x Reorder the terms: 20 + 2x = 4(5 + x) + -11x 20 + 2x = (5 * 4 + x * 4) + -11x 20 + 2x = (20 + 4x) + -11x Combine like terms: 4x + -11x = -7x 20 + 2x = 20 + -7x Add '-20' to each side of the equation. 20 + -20 + 2x = 20 + -20 + -7x Combine like terms: 20 + -20 = 0 0 + 2x = 20 + -20 + -7x 2x = 20 + -20 + -7x Combine like terms: 20 + -20 = 0 2x = 0 + -7x 2x = -7x Solving 2x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2x + 7x = -7x + 7x Combine like terms: 2x + 7x = 9x 9x = -7x + 7x Combine like terms: -7x + 7x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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