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Simplifying 3 + -1(4 + 8x) + -2x + 2 = 5 + -5x 3 + (4 * -1 + 8x * -1) + -2x + 2 = 5 + -5x 3 + (-4 + -8x) + -2x + 2 = 5 + -5x Reorder the terms: 3 + -4 + 2 + -8x + -2x = 5 + -5x Combine like terms: 3 + -4 = -1 -1 + 2 + -8x + -2x = 5 + -5x Combine like terms: -1 + 2 = 1 1 + -8x + -2x = 5 + -5x Combine like terms: -8x + -2x = -10x 1 + -10x = 5 + -5x Solving 1 + -10x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -10x + 5x = 5 + -5x + 5x Combine like terms: -10x + 5x = -5x 1 + -5x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + -5x = 5 + 0 1 + -5x = 5 Add '-1' to each side of the equation. 1 + -1 + -5x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 5 + -1 -5x = 5 + -1 Combine like terms: 5 + -1 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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