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Simplifying 12x + -3 = 3(2x + 5) Reorder the terms: -3 + 12x = 3(2x + 5) Reorder the terms: -3 + 12x = 3(5 + 2x) -3 + 12x = (5 * 3 + 2x * 3) -3 + 12x = (15 + 6x) Solving -3 + 12x = 15 + 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. -3 + 12x + -6x = 15 + 6x + -6x Combine like terms: 12x + -6x = 6x -3 + 6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 6x = 15 + 0 -3 + 6x = 15 Add '3' to each side of the equation. -3 + 3 + 6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 15 + 3 6x = 15 + 3 Combine like terms: 15 + 3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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