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Simplifying 4x + 13 + 7x + -9 + -2x = 8x + 24 + -6x + 7 + -2x Reorder the terms: 13 + -9 + 4x + 7x + -2x = 8x + 24 + -6x + 7 + -2x Combine like terms: 13 + -9 = 4 4 + 4x + 7x + -2x = 8x + 24 + -6x + 7 + -2x Combine like terms: 4x + 7x = 11x 4 + 11x + -2x = 8x + 24 + -6x + 7 + -2x Combine like terms: 11x + -2x = 9x 4 + 9x = 8x + 24 + -6x + 7 + -2x Reorder the terms: 4 + 9x = 24 + 7 + 8x + -6x + -2x Combine like terms: 24 + 7 = 31 4 + 9x = 31 + 8x + -6x + -2x Combine like terms: 8x + -6x = 2x 4 + 9x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 9x = 31 + 0 4 + 9x = 31 Solving 4 + 9x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 31 + -4 9x = 31 + -4 Combine like terms: 31 + -4 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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