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Simplifying 7x + 2 = 3(3x + 1) Reorder the terms: 2 + 7x = 3(3x + 1) Reorder the terms: 2 + 7x = 3(1 + 3x) 2 + 7x = (1 * 3 + 3x * 3) 2 + 7x = (3 + 9x) Solving 2 + 7x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 7x + -9x = 3 + 9x + -9x Combine like terms: 7x + -9x = -2x 2 + -2x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -2x = 3 + 0 2 + -2x = 3 Add '-2' to each side of the equation. 2 + -2 + -2x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 3 + -2 -2x = 3 + -2 Combine like terms: 3 + -2 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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