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Simplifying 4(x + -5) = 11(x + 2) Reorder the terms: 4(-5 + x) = 11(x + 2) (-5 * 4 + x * 4) = 11(x + 2) (-20 + 4x) = 11(x + 2) Reorder the terms: -20 + 4x = 11(2 + x) -20 + 4x = (2 * 11 + x * 11) -20 + 4x = (22 + 11x) Solving -20 + 4x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -20 + 4x + -11x = 22 + 11x + -11x Combine like terms: 4x + -11x = -7x -20 + -7x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 -20 + -7x = 22 + 0 -20 + -7x = 22 Add '20' to each side of the equation. -20 + 20 + -7x = 22 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 22 + 20 -7x = 22 + 20 Combine like terms: 22 + 20 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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