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Simplifying 4(x + -5) = 7x + -41 Reorder the terms: 4(-5 + x) = 7x + -41 (-5 * 4 + x * 4) = 7x + -41 (-20 + 4x) = 7x + -41 Reorder the terms: -20 + 4x = -41 + 7x Solving -20 + 4x = -41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 4x + -7x = -41 + 7x + -7x Combine like terms: 4x + -7x = -3x -20 + -3x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -3x = -41 + 0 -20 + -3x = -41 Add '20' to each side of the equation. -20 + 20 + -3x = -41 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -41 + 20 -3x = -41 + 20 Combine like terms: -41 + 20 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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