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Simplifying 9x + -1(6 + -5x) * 3 = x + -2(3x + 9) Reorder the terms for easier multiplication: 9x + -1 * 3(6 + -5x) = x + -2(3x + 9) Multiply -1 * 3 9x + -3(6 + -5x) = x + -2(3x + 9) 9x + (6 * -3 + -5x * -3) = x + -2(3x + 9) 9x + (-18 + 15x) = x + -2(3x + 9) Reorder the terms: -18 + 9x + 15x = x + -2(3x + 9) Combine like terms: 9x + 15x = 24x -18 + 24x = x + -2(3x + 9) Reorder the terms: -18 + 24x = x + -2(9 + 3x) -18 + 24x = x + (9 * -2 + 3x * -2) -18 + 24x = x + (-18 + -6x) Reorder the terms: -18 + 24x = -18 + x + -6x Combine like terms: x + -6x = -5x -18 + 24x = -18 + -5x Add '18' to each side of the equation. -18 + 18 + 24x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 0 + 24x = -18 + 18 + -5x 24x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 24x = 0 + -5x 24x = -5x Solving 24x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24x + 5x = -5x + 5x Combine like terms: 24x + 5x = 29x 29x = -5x + 5x Combine like terms: -5x + 5x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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