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Simplifying 7x + -2(x + -4) = 3x + 12 Reorder the terms: 7x + -2(-4 + x) = 3x + 12 7x + (-4 * -2 + x * -2) = 3x + 12 7x + (8 + -2x) = 3x + 12 Reorder the terms: 8 + 7x + -2x = 3x + 12 Combine like terms: 7x + -2x = 5x 8 + 5x = 3x + 12 Reorder the terms: 8 + 5x = 12 + 3x Solving 8 + 5x = 12 + 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. 8 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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