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