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Simplifying 3(x + 14) = 6(x + 12) Reorder the terms: 3(14 + x) = 6(x + 12) (14 * 3 + x * 3) = 6(x + 12) (42 + 3x) = 6(x + 12) Reorder the terms: 42 + 3x = 6(12 + x) 42 + 3x = (12 * 6 + x * 6) 42 + 3x = (72 + 6x) Solving 42 + 3x = 72 + 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. 42 + 3x + -6x = 72 + 6x + -6x Combine like terms: 3x + -6x = -3x 42 + -3x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -3x = 72 + 0 42 + -3x = 72 Add '-42' to each side of the equation. 42 + -42 + -3x = 72 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 72 + -42 -3x = 72 + -42 Combine like terms: 72 + -42 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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