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Simplifying 14 + 3(6x + -9) + 12x = 101 Reorder the terms: 14 + 3(-9 + 6x) + 12x = 101 14 + (-9 * 3 + 6x * 3) + 12x = 101 14 + (-27 + 18x) + 12x = 101 Combine like terms: 14 + -27 = -13 -13 + 18x + 12x = 101 Combine like terms: 18x + 12x = 30x -13 + 30x = 101 Solving -13 + 30x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 30x = 101 + 13 Combine like terms: -13 + 13 = 0 0 + 30x = 101 + 13 30x = 101 + 13 Combine like terms: 101 + 13 = 114 30x = 114 Divide each side by '30'. x = 3.8 Simplifying x = 3.8
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