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Simplifying 3 + 5(4x + -6) + -8 = 3x + -14 Reorder the terms: 3 + 5(-6 + 4x) + -8 = 3x + -14 3 + (-6 * 5 + 4x * 5) + -8 = 3x + -14 3 + (-30 + 20x) + -8 = 3x + -14 Reorder the terms: 3 + -30 + -8 + 20x = 3x + -14 Combine like terms: 3 + -30 = -27 -27 + -8 + 20x = 3x + -14 Combine like terms: -27 + -8 = -35 -35 + 20x = 3x + -14 Reorder the terms: -35 + 20x = -14 + 3x Solving -35 + 20x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 20x + -3x = -14 + 3x + -3x Combine like terms: 20x + -3x = 17x -35 + 17x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 17x = -14 + 0 -35 + 17x = -14 Add '35' to each side of the equation. -35 + 35 + 17x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + 17x = -14 + 35 17x = -14 + 35 Combine like terms: -14 + 35 = 21 17x = 21 Divide each side by '17'. x = 1.235294118 Simplifying x = 1.235294118
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