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Simplifying 15x + 6x + 18 = 9x + 3x + 81 Reorder the terms: 18 + 15x + 6x = 9x + 3x + 81 Combine like terms: 15x + 6x = 21x 18 + 21x = 9x + 3x + 81 Reorder the terms: 18 + 21x = 81 + 9x + 3x Combine like terms: 9x + 3x = 12x 18 + 21x = 81 + 12x Solving 18 + 21x = 81 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 21x + -12x = 81 + 12x + -12x Combine like terms: 21x + -12x = 9x 18 + 9x = 81 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + 9x = 81 + 0 18 + 9x = 81 Add '-18' to each side of the equation. 18 + -18 + 9x = 81 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 81 + -18 9x = 81 + -18 Combine like terms: 81 + -18 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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