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Simplifying 13(x + -6) = 7x + -9 Reorder the terms: 13(-6 + x) = 7x + -9 (-6 * 13 + x * 13) = 7x + -9 (-78 + 13x) = 7x + -9 Reorder the terms: -78 + 13x = -9 + 7x Solving -78 + 13x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -78 + 13x + -7x = -9 + 7x + -7x Combine like terms: 13x + -7x = 6x -78 + 6x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -78 + 6x = -9 + 0 -78 + 6x = -9 Add '78' to each side of the equation. -78 + 78 + 6x = -9 + 78 Combine like terms: -78 + 78 = 0 0 + 6x = -9 + 78 6x = -9 + 78 Combine like terms: -9 + 78 = 69 6x = 69 Divide each side by '6'. x = 11.5 Simplifying x = 11.5
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