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Simplifying -5(4x + -3) = -30 + -5x Reorder the terms: -5(-3 + 4x) = -30 + -5x (-3 * -5 + 4x * -5) = -30 + -5x (15 + -20x) = -30 + -5x Solving 15 + -20x = -30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + -20x + 5x = -30 + -5x + 5x Combine like terms: -20x + 5x = -15x 15 + -15x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + -15x = -30 + 0 15 + -15x = -30 Add '-15' to each side of the equation. 15 + -15 + -15x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -30 + -15 -15x = -30 + -15 Combine like terms: -30 + -15 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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