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Simplifying 3x + 5(4x + -6) + -8 = 3x + -14 Reorder the terms: 3x + 5(-6 + 4x) + -8 = 3x + -14 3x + (-6 * 5 + 4x * 5) + -8 = 3x + -14 3x + (-30 + 20x) + -8 = 3x + -14 Reorder the terms: -30 + -8 + 3x + 20x = 3x + -14 Combine like terms: -30 + -8 = -38 -38 + 3x + 20x = 3x + -14 Combine like terms: 3x + 20x = 23x -38 + 23x = 3x + -14 Reorder the terms: -38 + 23x = -14 + 3x Solving -38 + 23x = -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. -38 + 23x + -3x = -14 + 3x + -3x Combine like terms: 23x + -3x = 20x -38 + 20x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 20x = -14 + 0 -38 + 20x = -14 Add '38' to each side of the equation. -38 + 38 + 20x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 20x = -14 + 38 20x = -14 + 38 Combine like terms: -14 + 38 = 24 20x = 24 Divide each side by '20'. x = 1.2 Simplifying x = 1.2
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