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Simplifying (3 + 2x) * 6 = (9x + 1) + -10 Reorder the terms for easier multiplication: 6(3 + 2x) = (9x + 1) + -10 (3 * 6 + 2x * 6) = (9x + 1) + -10 (18 + 12x) = (9x + 1) + -10 Reorder the terms: 18 + 12x = (1 + 9x) + -10 Remove parenthesis around (1 + 9x) 18 + 12x = 1 + 9x + -10 Reorder the terms: 18 + 12x = 1 + -10 + 9x Combine like terms: 1 + -10 = -9 18 + 12x = -9 + 9x Solving 18 + 12x = -9 + 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. 18 + 12x + -9x = -9 + 9x + -9x Combine like terms: 12x + -9x = 3x 18 + 3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 3x = -9 + 0 18 + 3x = -9 Add '-18' to each side of the equation. 18 + -18 + 3x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = -9 + -18 3x = -9 + -18 Combine like terms: -9 + -18 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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