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Simplifying 5(4x + 6) = 13x + 9 Reorder the terms: 5(6 + 4x) = 13x + 9 (6 * 5 + 4x * 5) = 13x + 9 (30 + 20x) = 13x + 9 Reorder the terms: 30 + 20x = 9 + 13x Solving 30 + 20x = 9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + 20x + -13x = 9 + 13x + -13x Combine like terms: 20x + -13x = 7x 30 + 7x = 9 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + 7x = 9 + 0 30 + 7x = 9 Add '-30' to each side of the equation. 30 + -30 + 7x = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 9 + -30 7x = 9 + -30 Combine like terms: 9 + -30 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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