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Simplifying 7x + -6 = 2(12 + -4x) Reorder the terms: -6 + 7x = 2(12 + -4x) -6 + 7x = (12 * 2 + -4x * 2) -6 + 7x = (24 + -8x) Solving -6 + 7x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 7x + 8x = 24 + -8x + 8x Combine like terms: 7x + 8x = 15x -6 + 15x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 15x = 24 + 0 -6 + 15x = 24 Add '6' to each side of the equation. -6 + 6 + 15x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 24 + 6 15x = 24 + 6 Combine like terms: 24 + 6 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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