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Simplifying 3(4x + 3) + -41 = 6x + 4 Reorder the terms: 3(3 + 4x) + -41 = 6x + 4 (3 * 3 + 4x * 3) + -41 = 6x + 4 (9 + 12x) + -41 = 6x + 4 Reorder the terms: 9 + -41 + 12x = 6x + 4 Combine like terms: 9 + -41 = -32 -32 + 12x = 6x + 4 Reorder the terms: -32 + 12x = 4 + 6x Solving -32 + 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. -32 + 12x + -6x = 4 + 6x + -6x Combine like terms: 12x + -6x = 6x -32 + 6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 6x = 4 + 0 -32 + 6x = 4 Add '32' to each side of the equation. -32 + 32 + 6x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 4 + 32 6x = 4 + 32 Combine like terms: 4 + 32 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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