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Simplifying 3x + -5(2x + -6) = 9(2 + -1x) Reorder the terms: 3x + -5(-6 + 2x) = 9(2 + -1x) 3x + (-6 * -5 + 2x * -5) = 9(2 + -1x) 3x + (30 + -10x) = 9(2 + -1x) Reorder the terms: 30 + 3x + -10x = 9(2 + -1x) Combine like terms: 3x + -10x = -7x 30 + -7x = 9(2 + -1x) 30 + -7x = (2 * 9 + -1x * 9) 30 + -7x = (18 + -9x) Solving 30 + -7x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 30 + -7x + 9x = 18 + -9x + 9x Combine like terms: -7x + 9x = 2x 30 + 2x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 30 + 2x = 18 + 0 30 + 2x = 18 Add '-30' to each side of the equation. 30 + -30 + 2x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 18 + -30 2x = 18 + -30 Combine like terms: 18 + -30 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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