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Simplifying 3(2x + -1) + 12 = 4x + 1 Reorder the terms: 3(-1 + 2x) + 12 = 4x + 1 (-1 * 3 + 2x * 3) + 12 = 4x + 1 (-3 + 6x) + 12 = 4x + 1 Reorder the terms: -3 + 12 + 6x = 4x + 1 Combine like terms: -3 + 12 = 9 9 + 6x = 4x + 1 Reorder the terms: 9 + 6x = 1 + 4x Solving 9 + 6x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 6x + -4x = 1 + 4x + -4x Combine like terms: 6x + -4x = 2x 9 + 2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 2x = 1 + 0 9 + 2x = 1 Add '-9' to each side of the equation. 9 + -9 + 2x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 1 + -9 2x = 1 + -9 Combine like terms: 1 + -9 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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