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Simplifying 8x + 2(5x + 5) = 21 + 7x Reorder the terms: 8x + 2(5 + 5x) = 21 + 7x 8x + (5 * 2 + 5x * 2) = 21 + 7x 8x + (10 + 10x) = 21 + 7x Reorder the terms: 10 + 8x + 10x = 21 + 7x Combine like terms: 8x + 10x = 18x 10 + 18x = 21 + 7x Solving 10 + 18x = 21 + 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. 10 + 18x + -7x = 21 + 7x + -7x Combine like terms: 18x + -7x = 11x 10 + 11x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 11x = 21 + 0 10 + 11x = 21 Add '-10' to each side of the equation. 10 + -10 + 11x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 21 + -10 11x = 21 + -10 Combine like terms: 21 + -10 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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