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Simplifying 2x + -7(4 + -2x) = 12 + 8x 2x + (4 * -7 + -2x * -7) = 12 + 8x 2x + (-28 + 14x) = 12 + 8x Reorder the terms: -28 + 2x + 14x = 12 + 8x Combine like terms: 2x + 14x = 16x -28 + 16x = 12 + 8x Solving -28 + 16x = 12 + 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. -28 + 16x + -8x = 12 + 8x + -8x Combine like terms: 16x + -8x = 8x -28 + 8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 8x = 12 + 0 -28 + 8x = 12 Add '28' to each side of the equation. -28 + 28 + 8x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 12 + 28 8x = 12 + 28 Combine like terms: 12 + 28 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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