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Simplifying 6 + 2(5x + 9) = 9x + -13 Reorder the terms: 6 + 2(9 + 5x) = 9x + -13 6 + (9 * 2 + 5x * 2) = 9x + -13 6 + (18 + 10x) = 9x + -13 Combine like terms: 6 + 18 = 24 24 + 10x = 9x + -13 Reorder the terms: 24 + 10x = -13 + 9x Solving 24 + 10x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 10x + -9x = -13 + 9x + -9x Combine like terms: 10x + -9x = 1x 24 + 1x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 1x = -13 + 0 24 + 1x = -13 Add '-24' to each side of the equation. 24 + -24 + 1x = -13 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -13 + -24 1x = -13 + -24 Combine like terms: -13 + -24 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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