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Simplifying 3(4x + -4) + 6 = 5x + -41 Reorder the terms: 3(-4 + 4x) + 6 = 5x + -41 (-4 * 3 + 4x * 3) + 6 = 5x + -41 (-12 + 12x) + 6 = 5x + -41 Reorder the terms: -12 + 6 + 12x = 5x + -41 Combine like terms: -12 + 6 = -6 -6 + 12x = 5x + -41 Reorder the terms: -6 + 12x = -41 + 5x Solving -6 + 12x = -41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 12x + -5x = -41 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = -41 + 0 -6 + 7x = -41 Add '6' to each side of the equation. -6 + 6 + 7x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -41 + 6 7x = -41 + 6 Combine like terms: -41 + 6 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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