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Simplifying 2(2x + 9) = 2(2x + 1) + 2x Reorder the terms: 2(9 + 2x) = 2(2x + 1) + 2x (9 * 2 + 2x * 2) = 2(2x + 1) + 2x (18 + 4x) = 2(2x + 1) + 2x Reorder the terms: 18 + 4x = 2(1 + 2x) + 2x 18 + 4x = (1 * 2 + 2x * 2) + 2x 18 + 4x = (2 + 4x) + 2x Combine like terms: 4x + 2x = 6x 18 + 4x = 2 + 6x Solving 18 + 4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x 18 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -2x = 2 + 0 18 + -2x = 2 Add '-18' to each side of the equation. 18 + -18 + -2x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 2 + -18 -2x = 2 + -18 Combine like terms: 2 + -18 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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