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Simplifying 4(-5x + 30) = 12x + -45 Reorder the terms: 4(30 + -5x) = 12x + -45 (30 * 4 + -5x * 4) = 12x + -45 (120 + -20x) = 12x + -45 Reorder the terms: 120 + -20x = -45 + 12x Solving 120 + -20x = -45 + 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 + -20x + -12x = -45 + 12x + -12x Combine like terms: -20x + -12x = -32x 120 + -32x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 120 + -32x = -45 + 0 120 + -32x = -45 Add '-120' to each side of the equation. 120 + -120 + -32x = -45 + -120 Combine like terms: 120 + -120 = 0 0 + -32x = -45 + -120 -32x = -45 + -120 Combine like terms: -45 + -120 = -165 -32x = -165 Divide each side by '-32'. x = 5.15625 Simplifying x = 5.15625
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