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Simplifying 5x + -1(2x + 2) = 2x + (3x + -5) Reorder the terms: 5x + -1(2 + 2x) = 2x + (3x + -5) 5x + (2 * -1 + 2x * -1) = 2x + (3x + -5) 5x + (-2 + -2x) = 2x + (3x + -5) Reorder the terms: -2 + 5x + -2x = 2x + (3x + -5) Combine like terms: 5x + -2x = 3x -2 + 3x = 2x + (3x + -5) Reorder the terms: -2 + 3x = 2x + (-5 + 3x) Remove parenthesis around (-5 + 3x) -2 + 3x = 2x + -5 + 3x Reorder the terms: -2 + 3x = -5 + 2x + 3x Combine like terms: 2x + 3x = 5x -2 + 3x = -5 + 5x Solving -2 + 3x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -5 + 0 -2 + -2x = -5 Add '2' to each side of the equation. -2 + 2 + -2x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -5 + 2 -2x = -5 + 2 Combine like terms: -5 + 2 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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