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Simplifying 4(x + -5) = 4 + -1(2x + -5) Reorder the terms: 4(-5 + x) = 4 + -1(2x + -5) (-5 * 4 + x * 4) = 4 + -1(2x + -5) (-20 + 4x) = 4 + -1(2x + -5) Reorder the terms: -20 + 4x = 4 + -1(-5 + 2x) -20 + 4x = 4 + (-5 * -1 + 2x * -1) -20 + 4x = 4 + (5 + -2x) Combine like terms: 4 + 5 = 9 -20 + 4x = 9 + -2x Solving -20 + 4x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 4x + 2x = 9 + -2x + 2x Combine like terms: 4x + 2x = 6x -20 + 6x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 6x = 9 + 0 -20 + 6x = 9 Add '20' to each side of the equation. -20 + 20 + 6x = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 9 + 20 6x = 9 + 20 Combine like terms: 9 + 20 = 29 6x = 29 Divide each side by '6'. x = 4.833333333 Simplifying x = 4.833333333
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