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Simplifying 4(3x + -5) * 6 = 12x + -14 Reorder the terms: 4(-5 + 3x) * 6 = 12x + -14 Reorder the terms for easier multiplication: 4 * 6(-5 + 3x) = 12x + -14 Multiply 4 * 6 24(-5 + 3x) = 12x + -14 (-5 * 24 + 3x * 24) = 12x + -14 (-120 + 72x) = 12x + -14 Reorder the terms: -120 + 72x = -14 + 12x Solving -120 + 72x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -120 + 72x + -12x = -14 + 12x + -12x Combine like terms: 72x + -12x = 60x -120 + 60x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -120 + 60x = -14 + 0 -120 + 60x = -14 Add '120' to each side of the equation. -120 + 120 + 60x = -14 + 120 Combine like terms: -120 + 120 = 0 0 + 60x = -14 + 120 60x = -14 + 120 Combine like terms: -14 + 120 = 106 60x = 106 Divide each side by '60'. x = 1.766666667 Simplifying x = 1.766666667
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