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Simplifying 6 + -3x = 6(3x + -6) Reorder the terms: 6 + -3x = 6(-6 + 3x) 6 + -3x = (-6 * 6 + 3x * 6) 6 + -3x = (-36 + 18x) Solving 6 + -3x = -36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 6 + -3x + -18x = -36 + 18x + -18x Combine like terms: -3x + -18x = -21x 6 + -21x = -36 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -21x = -36 + 0 6 + -21x = -36 Add '-6' to each side of the equation. 6 + -6 + -21x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -21x = -36 + -6 -21x = -36 + -6 Combine like terms: -36 + -6 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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