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Simplifying -5(4x + -6) = 15 + -5x Reorder the terms: -5(-6 + 4x) = 15 + -5x (-6 * -5 + 4x * -5) = 15 + -5x (30 + -20x) = 15 + -5x Solving 30 + -20x = 15 + -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. 30 + -20x + 5x = 15 + -5x + 5x Combine like terms: -20x + 5x = -15x 30 + -15x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + -15x = 15 + 0 30 + -15x = 15 Add '-30' to each side of the equation. 30 + -30 + -15x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 15 + -30 -15x = 15 + -30 Combine like terms: 15 + -30 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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