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Simplifying 9(2x + 1) + -3x = 4x + -6 Reorder the terms: 9(1 + 2x) + -3x = 4x + -6 (1 * 9 + 2x * 9) + -3x = 4x + -6 (9 + 18x) + -3x = 4x + -6 Combine like terms: 18x + -3x = 15x 9 + 15x = 4x + -6 Reorder the terms: 9 + 15x = -6 + 4x Solving 9 + 15x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 15x + -4x = -6 + 4x + -4x Combine like terms: 15x + -4x = 11x 9 + 11x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 11x = -6 + 0 9 + 11x = -6 Add '-9' to each side of the equation. 9 + -9 + 11x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = -6 + -9 11x = -6 + -9 Combine like terms: -6 + -9 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364
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