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Simplifying 6(3x + -5) = 13x Reorder the terms: 6(-5 + 3x) = 13x (-5 * 6 + 3x * 6) = 13x (-30 + 18x) = 13x Solving -30 + 18x = 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 + 18x + -13x = 13x + -13x Combine like terms: 18x + -13x = 5x -30 + 5x = 13x + -13x Combine like terms: 13x + -13x = 0 -30 + 5x = 0 Add '30' to each side of the equation. -30 + 30 + 5x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 0 + 30 5x = 0 + 30 Combine like terms: 0 + 30 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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