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Simplifying 3(8x + 9) + -9x = 7x + 19 Reorder the terms: 3(9 + 8x) + -9x = 7x + 19 (9 * 3 + 8x * 3) + -9x = 7x + 19 (27 + 24x) + -9x = 7x + 19 Combine like terms: 24x + -9x = 15x 27 + 15x = 7x + 19 Reorder the terms: 27 + 15x = 19 + 7x Solving 27 + 15x = 19 + 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. 27 + 15x + -7x = 19 + 7x + -7x Combine like terms: 15x + -7x = 8x 27 + 8x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + 8x = 19 + 0 27 + 8x = 19 Add '-27' to each side of the equation. 27 + -27 + 8x = 19 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 19 + -27 8x = 19 + -27 Combine like terms: 19 + -27 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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