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Simplifying 3(x + 7) = 2(x + 7) + 7 Reorder the terms: 3(7 + x) = 2(x + 7) + 7 (7 * 3 + x * 3) = 2(x + 7) + 7 (21 + 3x) = 2(x + 7) + 7 Reorder the terms: 21 + 3x = 2(7 + x) + 7 21 + 3x = (7 * 2 + x * 2) + 7 21 + 3x = (14 + 2x) + 7 Reorder the terms: 21 + 3x = 14 + 7 + 2x Combine like terms: 14 + 7 = 21 21 + 3x = 21 + 2x Add '-21' to each side of the equation. 21 + -21 + 3x = 21 + -21 + 2x Combine like terms: 21 + -21 = 0 0 + 3x = 21 + -21 + 2x 3x = 21 + -21 + 2x Combine like terms: 21 + -21 = 0 3x = 0 + 2x 3x = 2x Solving 3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 2x + -2x Combine like terms: 2x + -2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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