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Simplifying 3(x + -2) = 6(x + 9) + 3x Reorder the terms: 3(-2 + x) = 6(x + 9) + 3x (-2 * 3 + x * 3) = 6(x + 9) + 3x (-6 + 3x) = 6(x + 9) + 3x Reorder the terms: -6 + 3x = 6(9 + x) + 3x -6 + 3x = (9 * 6 + x * 6) + 3x -6 + 3x = (54 + 6x) + 3x Combine like terms: 6x + 3x = 9x -6 + 3x = 54 + 9x Solving -6 + 3x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 3x + -9x = 54 + 9x + -9x Combine like terms: 3x + -9x = -6x -6 + -6x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -6x = 54 + 0 -6 + -6x = 54 Add '6' to each side of the equation. -6 + 6 + -6x = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 54 + 6 -6x = 54 + 6 Combine like terms: 54 + 6 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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