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Simplifying 6(2x + 1) + -5x = 3x + 2 Reorder the terms: 6(1 + 2x) + -5x = 3x + 2 (1 * 6 + 2x * 6) + -5x = 3x + 2 (6 + 12x) + -5x = 3x + 2 Combine like terms: 12x + -5x = 7x 6 + 7x = 3x + 2 Reorder the terms: 6 + 7x = 2 + 3x Solving 6 + 7x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x 6 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 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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