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Simplifying 6(3x + 9) = -3(x + -2) Reorder the terms: 6(9 + 3x) = -3(x + -2) (9 * 6 + 3x * 6) = -3(x + -2) (54 + 18x) = -3(x + -2) Reorder the terms: 54 + 18x = -3(-2 + x) 54 + 18x = (-2 * -3 + x * -3) 54 + 18x = (6 + -3x) Solving 54 + 18x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 54 + 18x + 3x = 6 + -3x + 3x Combine like terms: 18x + 3x = 21x 54 + 21x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 54 + 21x = 6 + 0 54 + 21x = 6 Add '-54' to each side of the equation. 54 + -54 + 21x = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 21x = 6 + -54 21x = 6 + -54 Combine like terms: 6 + -54 = -48 21x = -48 Divide each side by '21'. x = -2.285714286 Simplifying x = -2.285714286
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