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Simplifying 9x + -2(2x + -3) = 6x + -3(x + -6) Reorder the terms: 9x + -2(-3 + 2x) = 6x + -3(x + -6) 9x + (-3 * -2 + 2x * -2) = 6x + -3(x + -6) 9x + (6 + -4x) = 6x + -3(x + -6) Reorder the terms: 6 + 9x + -4x = 6x + -3(x + -6) Combine like terms: 9x + -4x = 5x 6 + 5x = 6x + -3(x + -6) Reorder the terms: 6 + 5x = 6x + -3(-6 + x) 6 + 5x = 6x + (-6 * -3 + x * -3) 6 + 5x = 6x + (18 + -3x) Reorder the terms: 6 + 5x = 18 + 6x + -3x Combine like terms: 6x + -3x = 3x 6 + 5x = 18 + 3x Solving 6 + 5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 18 + 0 6 + 2x = 18 Add '-6' to each side of the equation. 6 + -6 + 2x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 18 + -6 2x = 18 + -6 Combine like terms: 18 + -6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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