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Simplifying 3(4x + 1) + 44 = 6x + -1 Reorder the terms: 3(1 + 4x) + 44 = 6x + -1 (1 * 3 + 4x * 3) + 44 = 6x + -1 (3 + 12x) + 44 = 6x + -1 Reorder the terms: 3 + 44 + 12x = 6x + -1 Combine like terms: 3 + 44 = 47 47 + 12x = 6x + -1 Reorder the terms: 47 + 12x = -1 + 6x Solving 47 + 12x = -1 + 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. 47 + 12x + -6x = -1 + 6x + -6x Combine like terms: 12x + -6x = 6x 47 + 6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + 6x = -1 + 0 47 + 6x = -1 Add '-47' to each side of the equation. 47 + -47 + 6x = -1 + -47 Combine like terms: 47 + -47 = 0 0 + 6x = -1 + -47 6x = -1 + -47 Combine like terms: -1 + -47 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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