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Simplifying 12x + -30 = 3(5 + x) Reorder the terms: -30 + 12x = 3(5 + x) -30 + 12x = (5 * 3 + x * 3) -30 + 12x = (15 + 3x) Solving -30 + 12x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 12x + -3x = 15 + 3x + -3x Combine like terms: 12x + -3x = 9x -30 + 9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 9x = 15 + 0 -30 + 9x = 15 Add '30' to each side of the equation. -30 + 30 + 9x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 15 + 30 9x = 15 + 30 Combine like terms: 15 + 30 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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