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Simplifying 5x + -12 = 2(5 + -3x) Reorder the terms: -12 + 5x = 2(5 + -3x) -12 + 5x = (5 * 2 + -3x * 2) -12 + 5x = (10 + -6x) Solving -12 + 5x = 10 + -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 + 5x + 6x = 10 + -6x + 6x Combine like terms: 5x + 6x = 11x -12 + 11x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 11x = 10 + 0 -12 + 11x = 10 Add '12' to each side of the equation. -12 + 12 + 11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 10 + 12 11x = 10 + 12 Combine like terms: 10 + 12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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