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Simplifying 5x + -1(2x + 2) = 1x + 1(3x + -5) Reorder the terms: 5x + -1(2 + 2x) = 1x + 1(3x + -5) 5x + (2 * -1 + 2x * -1) = 1x + 1(3x + -5) 5x + (-2 + -2x) = 1x + 1(3x + -5) Reorder the terms: -2 + 5x + -2x = 1x + 1(3x + -5) Combine like terms: 5x + -2x = 3x -2 + 3x = 1x + 1(3x + -5) Reorder the terms: -2 + 3x = 1x + 1(-5 + 3x) -2 + 3x = 1x + (-5 * 1 + 3x * 1) -2 + 3x = 1x + (-5 + 3x) Reorder the terms: -2 + 3x = -5 + 1x + 3x Combine like terms: 1x + 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 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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