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Simplifying 3(4x + 6) = 34x + -6 Reorder the terms: 3(6 + 4x) = 34x + -6 (6 * 3 + 4x * 3) = 34x + -6 (18 + 12x) = 34x + -6 Reorder the terms: 18 + 12x = -6 + 34x Solving 18 + 12x = -6 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 18 + 12x + -34x = -6 + 34x + -34x Combine like terms: 12x + -34x = -22x 18 + -22x = -6 + 34x + -34x Combine like terms: 34x + -34x = 0 18 + -22x = -6 + 0 18 + -22x = -6 Add '-18' to each side of the equation. 18 + -18 + -22x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = -6 + -18 -22x = -6 + -18 Combine like terms: -6 + -18 = -24 -22x = -24 Divide each side by '-22'. x = 1.090909091 Simplifying x = 1.090909091
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