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Simplifying 3(x + -9) + -2x = 6x + 18 Reorder the terms: 3(-9 + x) + -2x = 6x + 18 (-9 * 3 + x * 3) + -2x = 6x + 18 (-27 + 3x) + -2x = 6x + 18 Combine like terms: 3x + -2x = 1x -27 + 1x = 6x + 18 Reorder the terms: -27 + 1x = 18 + 6x Solving -27 + 1x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 1x + -6x = 18 + 6x + -6x Combine like terms: 1x + -6x = -5x -27 + -5x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -5x = 18 + 0 -27 + -5x = 18 Add '27' to each side of the equation. -27 + 27 + -5x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = 18 + 27 -5x = 18 + 27 Combine like terms: 18 + 27 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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