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Simplifying 3(4x + 2) + 5x = 30 + -1x Reorder the terms: 3(2 + 4x) + 5x = 30 + -1x (2 * 3 + 4x * 3) + 5x = 30 + -1x (6 + 12x) + 5x = 30 + -1x Combine like terms: 12x + 5x = 17x 6 + 17x = 30 + -1x Solving 6 + 17x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 17x + x = 30 + -1x + x Combine like terms: 17x + x = 18x 6 + 18x = 30 + -1x + x Combine like terms: -1x + x = 0 6 + 18x = 30 + 0 6 + 18x = 30 Add '-6' to each side of the equation. 6 + -6 + 18x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = 30 + -6 18x = 30 + -6 Combine like terms: 30 + -6 = 24 18x = 24 Divide each side by '18'. x = 1.333333333 Simplifying x = 1.333333333
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