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Simplifying 13x + -3(2x + -2) = 6x + 9 Reorder the terms: 13x + -3(-2 + 2x) = 6x + 9 13x + (-2 * -3 + 2x * -3) = 6x + 9 13x + (6 + -6x) = 6x + 9 Reorder the terms: 6 + 13x + -6x = 6x + 9 Combine like terms: 13x + -6x = 7x 6 + 7x = 6x + 9 Reorder the terms: 6 + 7x = 9 + 6x Solving 6 + 7x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 7x + -6x = 9 + 6x + -6x Combine like terms: 7x + -6x = 1x 6 + 1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 1x = 9 + 0 6 + 1x = 9 Add '-6' to each side of the equation. 6 + -6 + 1x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 9 + -6 1x = 9 + -6 Combine like terms: 9 + -6 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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