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Simplifying 9x + 5(2x + -6) = -9 + -2x Reorder the terms: 9x + 5(-6 + 2x) = -9 + -2x 9x + (-6 * 5 + 2x * 5) = -9 + -2x 9x + (-30 + 10x) = -9 + -2x Reorder the terms: -30 + 9x + 10x = -9 + -2x Combine like terms: 9x + 10x = 19x -30 + 19x = -9 + -2x Solving -30 + 19x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 19x + 2x = -9 + -2x + 2x Combine like terms: 19x + 2x = 21x -30 + 21x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 21x = -9 + 0 -30 + 21x = -9 Add '30' to each side of the equation. -30 + 30 + 21x = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 21x = -9 + 30 21x = -9 + 30 Combine like terms: -9 + 30 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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