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Simplifying 3x + -1(2x + 2) = 5x + 6 Reorder the terms: 3x + -1(2 + 2x) = 5x + 6 3x + (2 * -1 + 2x * -1) = 5x + 6 3x + (-2 + -2x) = 5x + 6 Reorder the terms: -2 + 3x + -2x = 5x + 6 Combine like terms: 3x + -2x = 1x -2 + 1x = 5x + 6 Reorder the terms: -2 + 1x = 6 + 5x Solving -2 + 1x = 6 + 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 + 1x + -5x = 6 + 5x + -5x Combine like terms: 1x + -5x = -4x -2 + -4x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = 6 + 0 -2 + -4x = 6 Add '2' to each side of the equation. -2 + 2 + -4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 6 + 2 -4x = 6 + 2 Combine like terms: 6 + 2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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