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Simplifying 10 + -1(8x + -2) = 5x + 2(-4x + 1) Reorder the terms: 10 + -1(-2 + 8x) = 5x + 2(-4x + 1) 10 + (-2 * -1 + 8x * -1) = 5x + 2(-4x + 1) 10 + (2 + -8x) = 5x + 2(-4x + 1) Combine like terms: 10 + 2 = 12 12 + -8x = 5x + 2(-4x + 1) Reorder the terms: 12 + -8x = 5x + 2(1 + -4x) 12 + -8x = 5x + (1 * 2 + -4x * 2) 12 + -8x = 5x + (2 + -8x) Reorder the terms: 12 + -8x = 2 + 5x + -8x Combine like terms: 5x + -8x = -3x 12 + -8x = 2 + -3x Solving 12 + -8x = 2 + -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. 12 + -8x + 3x = 2 + -3x + 3x Combine like terms: -8x + 3x = -5x 12 + -5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -5x = 2 + 0 12 + -5x = 2 Add '-12' to each side of the equation. 12 + -12 + -5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 2 + -12 -5x = 2 + -12 Combine like terms: 2 + -12 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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