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Simplifying (x + -5) + -1(2x + 3) = 4x + 20 Reorder the terms: (-5 + x) + -1(2x + 3) = 4x + 20 Remove parenthesis around (-5 + x) -5 + x + -1(2x + 3) = 4x + 20 Reorder the terms: -5 + x + -1(3 + 2x) = 4x + 20 -5 + x + (3 * -1 + 2x * -1) = 4x + 20 -5 + x + (-3 + -2x) = 4x + 20 Reorder the terms: -5 + -3 + x + -2x = 4x + 20 Combine like terms: -5 + -3 = -8 -8 + x + -2x = 4x + 20 Combine like terms: x + -2x = -1x -8 + -1x = 4x + 20 Reorder the terms: -8 + -1x = 20 + 4x Solving -8 + -1x = 20 + 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. -8 + -1x + -4x = 20 + 4x + -4x Combine like terms: -1x + -4x = -5x -8 + -5x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -5x = 20 + 0 -8 + -5x = 20 Add '8' to each side of the equation. -8 + 8 + -5x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 20 + 8 -5x = 20 + 8 Combine like terms: 20 + 8 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6
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