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Simplifying 5x + 4 + -2x + -6 = 2(x + -1) + 2 Reorder the terms: 4 + -6 + 5x + -2x = 2(x + -1) + 2 Combine like terms: 4 + -6 = -2 -2 + 5x + -2x = 2(x + -1) + 2 Combine like terms: 5x + -2x = 3x -2 + 3x = 2(x + -1) + 2 Reorder the terms: -2 + 3x = 2(-1 + x) + 2 -2 + 3x = (-1 * 2 + x * 2) + 2 -2 + 3x = (-2 + 2x) + 2 Reorder the terms: -2 + 3x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 -2 + 3x = 0 + 2x -2 + 3x = 2x Solving -2 + 3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 0 Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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