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Simplifying 3(x + -5) = 41 + -4x Reorder the terms: 3(-5 + x) = 41 + -4x (-5 * 3 + x * 3) = 41 + -4x (-15 + 3x) = 41 + -4x Solving -15 + 3x = 41 + -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. -15 + 3x + 4x = 41 + -4x + 4x Combine like terms: 3x + 4x = 7x -15 + 7x = 41 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 7x = 41 + 0 -15 + 7x = 41 Add '15' to each side of the equation. -15 + 15 + 7x = 41 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 41 + 15 7x = 41 + 15 Combine like terms: 41 + 15 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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