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Simplifying 6(5x + -4) = 13x + 27 Reorder the terms: 6(-4 + 5x) = 13x + 27 (-4 * 6 + 5x * 6) = 13x + 27 (-24 + 30x) = 13x + 27 Reorder the terms: -24 + 30x = 27 + 13x Solving -24 + 30x = 27 + 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. -24 + 30x + -13x = 27 + 13x + -13x Combine like terms: 30x + -13x = 17x -24 + 17x = 27 + 13x + -13x Combine like terms: 13x + -13x = 0 -24 + 17x = 27 + 0 -24 + 17x = 27 Add '24' to each side of the equation. -24 + 24 + 17x = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 17x = 27 + 24 17x = 27 + 24 Combine like terms: 27 + 24 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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