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Simplifying 3x + 12 = 6(x + 5) Reorder the terms: 12 + 3x = 6(x + 5) Reorder the terms: 12 + 3x = 6(5 + x) 12 + 3x = (5 * 6 + x * 6) 12 + 3x = (30 + 6x) Solving 12 + 3x = 30 + 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. 12 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x 12 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -3x = 30 + 0 12 + -3x = 30 Add '-12' to each side of the equation. 12 + -12 + -3x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 30 + -12 -3x = 30 + -12 Combine like terms: 30 + -12 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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