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Simplifying -2(4 + x) + 8x = 7 + x (4 * -2 + x * -2) + 8x = 7 + x (-8 + -2x) + 8x = 7 + x Combine like terms: -2x + 8x = 6x -8 + 6x = 7 + x Solving -8 + 6x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 6x + -1x = 7 + x + -1x Combine like terms: 6x + -1x = 5x -8 + 5x = 7 + x + -1x Combine like terms: x + -1x = 0 -8 + 5x = 7 + 0 -8 + 5x = 7 Add '8' to each side of the equation. -8 + 8 + 5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 7 + 8 5x = 7 + 8 Combine like terms: 7 + 8 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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