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Simplifying 2(4x + -4) + 1 = x Reorder the terms: 2(-4 + 4x) + 1 = x (-4 * 2 + 4x * 2) + 1 = x (-8 + 8x) + 1 = x Reorder the terms: -8 + 1 + 8x = x Combine like terms: -8 + 1 = -7 -7 + 8x = x Solving -7 + 8x = 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. -7 + 8x + -1x = x + -1x Combine like terms: 8x + -1x = 7x -7 + 7x = x + -1x Combine like terms: x + -1x = 0 -7 + 7x = 0 Add '7' to each side of the equation. -7 + 7 + 7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 0 + 7 7x = 0 + 7 Combine like terms: 0 + 7 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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