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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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