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Simplifying 2(3x + -2) + -2x = 5x + 6 Reorder the terms: 2(-2 + 3x) + -2x = 5x + 6 (-2 * 2 + 3x * 2) + -2x = 5x + 6 (-4 + 6x) + -2x = 5x + 6 Combine like terms: 6x + -2x = 4x -4 + 4x = 5x + 6 Reorder the terms: -4 + 4x = 6 + 5x Solving -4 + 4x = 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. -4 + 4x + -5x = 6 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 6 + 0 -4 + -1x = 6 Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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