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Simplifying 6(x + 3) + 2 = 20 + -9x Reorder the terms: 6(3 + x) + 2 = 20 + -9x (3 * 6 + x * 6) + 2 = 20 + -9x (18 + 6x) + 2 = 20 + -9x Reorder the terms: 18 + 2 + 6x = 20 + -9x Combine like terms: 18 + 2 = 20 20 + 6x = 20 + -9x Add '-20' to each side of the equation. 20 + -20 + 6x = 20 + -20 + -9x Combine like terms: 20 + -20 = 0 0 + 6x = 20 + -20 + -9x 6x = 20 + -20 + -9x Combine like terms: 20 + -20 = 0 6x = 0 + -9x 6x = -9x Solving 6x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6x + 9x = -9x + 9x Combine like terms: 6x + 9x = 15x 15x = -9x + 9x Combine like terms: -9x + 9x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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