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Simplifying 6(2x + 5) = 13x Reorder the terms: 6(5 + 2x) = 13x (5 * 6 + 2x * 6) = 13x (30 + 12x) = 13x Solving 30 + 12x = 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 + 12x + -13x = 13x + -13x Combine like terms: 12x + -13x = -1x 30 + -1x = 13x + -13x Combine like terms: 13x + -13x = 0 30 + -1x = 0 Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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