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Simplifying 5x + -1(2x + -2) = x + (3x + -5) Reorder the terms: 5x + -1(-2 + 2x) = x + (3x + -5) 5x + (-2 * -1 + 2x * -1) = x + (3x + -5) 5x + (2 + -2x) = x + (3x + -5) Reorder the terms: 2 + 5x + -2x = x + (3x + -5) Combine like terms: 5x + -2x = 3x 2 + 3x = x + (3x + -5) Reorder the terms: 2 + 3x = x + (-5 + 3x) Remove parenthesis around (-5 + 3x) 2 + 3x = x + -5 + 3x Reorder the terms: 2 + 3x = -5 + x + 3x Combine like terms: x + 3x = 4x 2 + 3x = -5 + 4x Solving 2 + 3x = -5 + 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. 2 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -5 + 0 2 + -1x = -5 Add '-2' to each side of the equation. 2 + -2 + -1x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -5 + -2 -1x = -5 + -2 Combine like terms: -5 + -2 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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