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Simplifying 3(4x + 3) + 5x = 30 + -1x Reorder the terms: 3(3 + 4x) + 5x = 30 + -1x (3 * 3 + 4x * 3) + 5x = 30 + -1x (9 + 12x) + 5x = 30 + -1x Combine like terms: 12x + 5x = 17x 9 + 17x = 30 + -1x Solving 9 + 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. 9 + 17x + x = 30 + -1x + x Combine like terms: 17x + x = 18x 9 + 18x = 30 + -1x + x Combine like terms: -1x + x = 0 9 + 18x = 30 + 0 9 + 18x = 30 Add '-9' to each side of the equation. 9 + -9 + 18x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 18x = 30 + -9 18x = 30 + -9 Combine like terms: 30 + -9 = 21 18x = 21 Divide each side by '18'. x = 1.166666667 Simplifying x = 1.166666667
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