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Simplifying 4x + -1(8 + -3x) = 8x + 1 4x + (8 * -1 + -3x * -1) = 8x + 1 4x + (-8 + 3x) = 8x + 1 Reorder the terms: -8 + 4x + 3x = 8x + 1 Combine like terms: 4x + 3x = 7x -8 + 7x = 8x + 1 Reorder the terms: -8 + 7x = 1 + 8x Solving -8 + 7x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 7x + -8x = 1 + 8x + -8x Combine like terms: 7x + -8x = -1x -8 + -1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -1x = 1 + 0 -8 + -1x = 1 Add '8' to each side of the equation. -8 + 8 + -1x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 1 + 8 -1x = 1 + 8 Combine like terms: 1 + 8 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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