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Simplifying 7x + 2 = 3(3x + -2) Reorder the terms: 2 + 7x = 3(3x + -2) Reorder the terms: 2 + 7x = 3(-2 + 3x) 2 + 7x = (-2 * 3 + 3x * 3) 2 + 7x = (-6 + 9x) Solving 2 + 7x = -6 + 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 = -6 + 9x + -9x Combine like terms: 7x + -9x = -2x 2 + -2x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -2x = -6 + 0 2 + -2x = -6 Add '-2' to each side of the equation. 2 + -2 + -2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -6 + -2 -2x = -6 + -2 Combine like terms: -6 + -2 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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