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Simplifying 6(x + 3) = 5x + 2(x + 9) Reorder the terms: 6(3 + x) = 5x + 2(x + 9) (3 * 6 + x * 6) = 5x + 2(x + 9) (18 + 6x) = 5x + 2(x + 9) Reorder the terms: 18 + 6x = 5x + 2(9 + x) 18 + 6x = 5x + (9 * 2 + x * 2) 18 + 6x = 5x + (18 + 2x) Reorder the terms: 18 + 6x = 18 + 5x + 2x Combine like terms: 5x + 2x = 7x 18 + 6x = 18 + 7x Add '-18' to each side of the equation. 18 + -18 + 6x = 18 + -18 + 7x Combine like terms: 18 + -18 = 0 0 + 6x = 18 + -18 + 7x 6x = 18 + -18 + 7x Combine like terms: 18 + -18 = 0 6x = 0 + 7x 6x = 7x Solving 6x = 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. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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