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Simplifying 9x + -3(6 + -5x) = 3 + -2(3x + 9) 9x + (6 * -3 + -5x * -3) = 3 + -2(3x + 9) 9x + (-18 + 15x) = 3 + -2(3x + 9) Reorder the terms: -18 + 9x + 15x = 3 + -2(3x + 9) Combine like terms: 9x + 15x = 24x -18 + 24x = 3 + -2(3x + 9) Reorder the terms: -18 + 24x = 3 + -2(9 + 3x) -18 + 24x = 3 + (9 * -2 + 3x * -2) -18 + 24x = 3 + (-18 + -6x) Combine like terms: 3 + -18 = -15 -18 + 24x = -15 + -6x Solving -18 + 24x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -18 + 24x + 6x = -15 + -6x + 6x Combine like terms: 24x + 6x = 30x -18 + 30x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 30x = -15 + 0 -18 + 30x = -15 Add '18' to each side of the equation. -18 + 18 + 30x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 30x = -15 + 18 30x = -15 + 18 Combine like terms: -15 + 18 = 3 30x = 3 Divide each side by '30'. x = 0.1 Simplifying x = 0.1
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