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Simplifying 5x + 2(x + -1) = 6x + -2 Reorder the terms: 5x + 2(-1 + x) = 6x + -2 5x + (-1 * 2 + x * 2) = 6x + -2 5x + (-2 + 2x) = 6x + -2 Reorder the terms: -2 + 5x + 2x = 6x + -2 Combine like terms: 5x + 2x = 7x -2 + 7x = 6x + -2 Reorder the terms: -2 + 7x = -2 + 6x Add '2' to each side of the equation. -2 + 2 + 7x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0 + 7x = -2 + 2 + 6x 7x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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