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Simplifying 2(3x + -2) + -7x = 5x + 2 Reorder the terms: 2(-2 + 3x) + -7x = 5x + 2 (-2 * 2 + 3x * 2) + -7x = 5x + 2 (-4 + 6x) + -7x = 5x + 2 Combine like terms: 6x + -7x = -1x -4 + -1x = 5x + 2 Reorder the terms: -4 + -1x = 2 + 5x Solving -4 + -1x = 2 + 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 + -1x + -5x = 2 + 5x + -5x Combine like terms: -1x + -5x = -6x -4 + -6x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -6x = 2 + 0 -4 + -6x = 2 Add '4' to each side of the equation. -4 + 4 + -6x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 2 + 4 -6x = 2 + 4 Combine like terms: 2 + 4 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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