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Simplifying 4(3x + -5) * 6 = 6x + 2(3x + -8) Reorder the terms: 4(-5 + 3x) * 6 = 6x + 2(3x + -8) Reorder the terms for easier multiplication: 4 * 6(-5 + 3x) = 6x + 2(3x + -8) Multiply 4 * 6 24(-5 + 3x) = 6x + 2(3x + -8) (-5 * 24 + 3x * 24) = 6x + 2(3x + -8) (-120 + 72x) = 6x + 2(3x + -8) Reorder the terms: -120 + 72x = 6x + 2(-8 + 3x) -120 + 72x = 6x + (-8 * 2 + 3x * 2) -120 + 72x = 6x + (-16 + 6x) Reorder the terms: -120 + 72x = -16 + 6x + 6x Combine like terms: 6x + 6x = 12x -120 + 72x = -16 + 12x Solving -120 + 72x = -16 + 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 = -16 + 12x + -12x Combine like terms: 72x + -12x = 60x -120 + 60x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -120 + 60x = -16 + 0 -120 + 60x = -16 Add '120' to each side of the equation. -120 + 120 + 60x = -16 + 120 Combine like terms: -120 + 120 = 0 0 + 60x = -16 + 120 60x = -16 + 120 Combine like terms: -16 + 120 = 104 60x = 104 Divide each side by '60'. x = 1.733333333 Simplifying x = 1.733333333
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