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Simplifying 13(x + -3) = 7x + -9 Reorder the terms: 13(-3 + x) = 7x + -9 (-3 * 13 + x * 13) = 7x + -9 (-39 + 13x) = 7x + -9 Reorder the terms: -39 + 13x = -9 + 7x Solving -39 + 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. -39 + 13x + -7x = -9 + 7x + -7x Combine like terms: 13x + -7x = 6x -39 + 6x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -39 + 6x = -9 + 0 -39 + 6x = -9 Add '39' to each side of the equation. -39 + 39 + 6x = -9 + 39 Combine like terms: -39 + 39 = 0 0 + 6x = -9 + 39 6x = -9 + 39 Combine like terms: -9 + 39 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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