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Simplifying 3(x + 7) = 2x + 6 Reorder the terms: 3(7 + x) = 2x + 6 (7 * 3 + x * 3) = 2x + 6 (21 + 3x) = 2x + 6 Reorder the terms: 21 + 3x = 6 + 2x Solving 21 + 3x = 6 + 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. 21 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = 6 + 0 21 + 1x = 6 Add '-21' to each side of the equation. 21 + -21 + 1x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 6 + -21 1x = 6 + -21 Combine like terms: 6 + -21 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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