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Simplifying 3 + -3(x + -6) = 3(1 + 2x) Reorder the terms: 3 + -3(-6 + x) = 3(1 + 2x) 3 + (-6 * -3 + x * -3) = 3(1 + 2x) 3 + (18 + -3x) = 3(1 + 2x) Combine like terms: 3 + 18 = 21 21 + -3x = 3(1 + 2x) 21 + -3x = (1 * 3 + 2x * 3) 21 + -3x = (3 + 6x) Solving 21 + -3x = 3 + 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. 21 + -3x + -6x = 3 + 6x + -6x Combine like terms: -3x + -6x = -9x 21 + -9x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -9x = 3 + 0 21 + -9x = 3 Add '-21' to each side of the equation. 21 + -21 + -9x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = 3 + -21 -9x = 3 + -21 Combine like terms: 3 + -21 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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