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Simplifying -3(3 + -3x) + -3(x + -6) = x + -1 + -5 (3 * -3 + -3x * -3) + -3(x + -6) = x + -1 + -5 (-9 + 9x) + -3(x + -6) = x + -1 + -5 Reorder the terms: -9 + 9x + -3(-6 + x) = x + -1 + -5 -9 + 9x + (-6 * -3 + x * -3) = x + -1 + -5 -9 + 9x + (18 + -3x) = x + -1 + -5 Reorder the terms: -9 + 18 + 9x + -3x = x + -1 + -5 Combine like terms: -9 + 18 = 9 9 + 9x + -3x = x + -1 + -5 Combine like terms: 9x + -3x = 6x 9 + 6x = x + -1 + -5 Reorder the terms: 9 + 6x = -1 + -5 + x Combine like terms: -1 + -5 = -6 9 + 6x = -6 + x Solving 9 + 6x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 6x + -1x = -6 + x + -1x Combine like terms: 6x + -1x = 5x 9 + 5x = -6 + x + -1x Combine like terms: x + -1x = 0 9 + 5x = -6 + 0 9 + 5x = -6 Add '-9' to each side of the equation. 9 + -9 + 5x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -6 + -9 5x = -6 + -9 Combine like terms: -6 + -9 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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