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Simplifying 8x + -1(4x + -8) = 1 + -3x Reorder the terms: 8x + -1(-8 + 4x) = 1 + -3x 8x + (-8 * -1 + 4x * -1) = 1 + -3x 8x + (8 + -4x) = 1 + -3x Reorder the terms: 8 + 8x + -4x = 1 + -3x Combine like terms: 8x + -4x = 4x 8 + 4x = 1 + -3x Solving 8 + 4x = 1 + -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. 8 + 4x + 3x = 1 + -3x + 3x Combine like terms: 4x + 3x = 7x 8 + 7x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 7x = 1 + 0 8 + 7x = 1 Add '-8' to each side of the equation. 8 + -8 + 7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 1 + -8 7x = 1 + -8 Combine like terms: 1 + -8 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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