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Simplifying 4(3 + x) = 3(4x + -1) + -41 (3 * 4 + x * 4) = 3(4x + -1) + -41 (12 + 4x) = 3(4x + -1) + -41 Reorder the terms: 12 + 4x = 3(-1 + 4x) + -41 12 + 4x = (-1 * 3 + 4x * 3) + -41 12 + 4x = (-3 + 12x) + -41 Reorder the terms: 12 + 4x = -3 + -41 + 12x Combine like terms: -3 + -41 = -44 12 + 4x = -44 + 12x Solving 12 + 4x = -44 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 4x + -12x = -44 + 12x + -12x Combine like terms: 4x + -12x = -8x 12 + -8x = -44 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -8x = -44 + 0 12 + -8x = -44 Add '-12' to each side of the equation. 12 + -12 + -8x = -44 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -44 + -12 -8x = -44 + -12 Combine like terms: -44 + -12 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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