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Simplifying 2(x + 3) + 7x = 5x + 2 Reorder the terms: 2(3 + x) + 7x = 5x + 2 (3 * 2 + x * 2) + 7x = 5x + 2 (6 + 2x) + 7x = 5x + 2 Combine like terms: 2x + 7x = 9x 6 + 9x = 5x + 2 Reorder the terms: 6 + 9x = 2 + 5x Solving 6 + 9x = 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. 6 + 9x + -5x = 2 + 5x + -5x Combine like terms: 9x + -5x = 4x 6 + 4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 4x = 2 + 0 6 + 4x = 2 Add '-6' to each side of the equation. 6 + -6 + 4x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 2 + -6 4x = 2 + -6 Combine like terms: 2 + -6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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