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Simplifying 12(x + -3) = 3(2x + -1) + -1 Reorder the terms: 12(-3 + x) = 3(2x + -1) + -1 (-3 * 12 + x * 12) = 3(2x + -1) + -1 (-36 + 12x) = 3(2x + -1) + -1 Reorder the terms: -36 + 12x = 3(-1 + 2x) + -1 -36 + 12x = (-1 * 3 + 2x * 3) + -1 -36 + 12x = (-3 + 6x) + -1 Reorder the terms: -36 + 12x = -3 + -1 + 6x Combine like terms: -3 + -1 = -4 -36 + 12x = -4 + 6x Solving -36 + 12x = -4 + 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. -36 + 12x + -6x = -4 + 6x + -6x Combine like terms: 12x + -6x = 6x -36 + 6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 6x = -4 + 0 -36 + 6x = -4 Add '36' to each side of the equation. -36 + 36 + 6x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -4 + 36 6x = -4 + 36 Combine like terms: -4 + 36 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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