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Simplifying 12 + -3(2x + 1) = 6x + -3(6 + x) Reorder the terms: 12 + -3(1 + 2x) = 6x + -3(6 + x) 12 + (1 * -3 + 2x * -3) = 6x + -3(6 + x) 12 + (-3 + -6x) = 6x + -3(6 + x) Combine like terms: 12 + -3 = 9 9 + -6x = 6x + -3(6 + x) 9 + -6x = 6x + (6 * -3 + x * -3) 9 + -6x = 6x + (-18 + -3x) Reorder the terms: 9 + -6x = -18 + 6x + -3x Combine like terms: 6x + -3x = 3x 9 + -6x = -18 + 3x Solving 9 + -6x = -18 + 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. 9 + -6x + -3x = -18 + 3x + -3x Combine like terms: -6x + -3x = -9x 9 + -9x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -9x = -18 + 0 9 + -9x = -18 Add '-9' to each side of the equation. 9 + -9 + -9x = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = -18 + -9 -9x = -18 + -9 Combine like terms: -18 + -9 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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