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Simplifying 24x + -6x(13x + -9) = -13 + -13x(6x + -1) Reorder the terms: 24x + -6x(-9 + 13x) = -13 + -13x(6x + -1) 24x + (-9 * -6x + 13x * -6x) = -13 + -13x(6x + -1) 24x + (54x + -78x2) = -13 + -13x(6x + -1) Combine like terms: 24x + 54x = 78x 78x + -78x2 = -13 + -13x(6x + -1) Reorder the terms: 78x + -78x2 = -13 + -13x(-1 + 6x) 78x + -78x2 = -13 + (-1 * -13x + 6x * -13x) 78x + -78x2 = -13 + (13x + -78x2) Add '78x2' to each side of the equation. 78x + -78x2 + 78x2 = -13 + 13x + -78x2 + 78x2 Combine like terms: -78x2 + 78x2 = 0 78x + 0 = -13 + 13x + -78x2 + 78x2 78x = -13 + 13x + -78x2 + 78x2 Combine like terms: -78x2 + 78x2 = 0 78x = -13 + 13x + 0 78x = -13 + 13x Solving 78x = -13 + 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. 78x + -13x = -13 + 13x + -13x Combine like terms: 78x + -13x = 65x 65x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 65x = -13 + 0 65x = -13 Divide each side by '65'. x = -0.2 Simplifying x = -0.2
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