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Simplifying 9x + 3(-2x + -6) = -13 + -2x Reorder the terms: 9x + 3(-6 + -2x) = -13 + -2x 9x + (-6 * 3 + -2x * 3) = -13 + -2x 9x + (-18 + -6x) = -13 + -2x Reorder the terms: -18 + 9x + -6x = -13 + -2x Combine like terms: 9x + -6x = 3x -18 + 3x = -13 + -2x Solving -18 + 3x = -13 + -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. -18 + 3x + 2x = -13 + -2x + 2x Combine like terms: 3x + 2x = 5x -18 + 5x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 5x = -13 + 0 -18 + 5x = -13 Add '18' to each side of the equation. -18 + 18 + 5x = -13 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -13 + 18 5x = -13 + 18 Combine like terms: -13 + 18 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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