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Simplifying -3(x + -9) = 5x + -3(x + 2) Reorder the terms: -3(-9 + x) = 5x + -3(x + 2) (-9 * -3 + x * -3) = 5x + -3(x + 2) (27 + -3x) = 5x + -3(x + 2) Reorder the terms: 27 + -3x = 5x + -3(2 + x) 27 + -3x = 5x + (2 * -3 + x * -3) 27 + -3x = 5x + (-6 + -3x) Reorder the terms: 27 + -3x = -6 + 5x + -3x Combine like terms: 5x + -3x = 2x 27 + -3x = -6 + 2x Solving 27 + -3x = -6 + 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. 27 + -3x + -2x = -6 + 2x + -2x Combine like terms: -3x + -2x = -5x 27 + -5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -5x = -6 + 0 27 + -5x = -6 Add '-27' to each side of the equation. 27 + -27 + -5x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -6 + -27 -5x = -6 + -27 Combine like terms: -6 + -27 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6
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