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Simplifying 3(x + 7) = 6(x + 1) Reorder the terms: 3(7 + x) = 6(x + 1) (7 * 3 + x * 3) = 6(x + 1) (21 + 3x) = 6(x + 1) Reorder the terms: 21 + 3x = 6(1 + x) 21 + 3x = (1 * 6 + x * 6) 21 + 3x = (6 + 6x) Solving 21 + 3x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 3x + -6x = 6 + 6x + -6x Combine like terms: 3x + -6x = -3x 21 + -3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -3x = 6 + 0 21 + -3x = 6 Add '-21' to each side of the equation. 21 + -21 + -3x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 6 + -21 -3x = 6 + -21 Combine like terms: 6 + -21 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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