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Simplifying 2(4 + -4x) + 1 = 2(1x + 2) + -5x (4 * 2 + -4x * 2) + 1 = 2(1x + 2) + -5x (8 + -8x) + 1 = 2(1x + 2) + -5x Reorder the terms: 8 + 1 + -8x = 2(1x + 2) + -5x Combine like terms: 8 + 1 = 9 9 + -8x = 2(1x + 2) + -5x Reorder the terms: 9 + -8x = 2(2 + 1x) + -5x 9 + -8x = (2 * 2 + 1x * 2) + -5x 9 + -8x = (4 + 2x) + -5x Combine like terms: 2x + -5x = -3x 9 + -8x = 4 + -3x Solving 9 + -8x = 4 + -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. 9 + -8x + 3x = 4 + -3x + 3x Combine like terms: -8x + 3x = -5x 9 + -5x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -5x = 4 + 0 9 + -5x = 4 Add '-9' to each side of the equation. 9 + -9 + -5x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 4 + -9 -5x = 4 + -9 Combine like terms: 4 + -9 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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