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Simplifying 4(-8x + 7) + -1 = -8 + 3x Reorder the terms: 4(7 + -8x) + -1 = -8 + 3x (7 * 4 + -8x * 4) + -1 = -8 + 3x (28 + -32x) + -1 = -8 + 3x Reorder the terms: 28 + -1 + -32x = -8 + 3x Combine like terms: 28 + -1 = 27 27 + -32x = -8 + 3x Solving 27 + -32x = -8 + 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. 27 + -32x + -3x = -8 + 3x + -3x Combine like terms: -32x + -3x = -35x 27 + -35x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -35x = -8 + 0 27 + -35x = -8 Add '-27' to each side of the equation. 27 + -27 + -35x = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -35x = -8 + -27 -35x = -8 + -27 Combine like terms: -8 + -27 = -35 -35x = -35 Divide each side by '-35'. x = 1 Simplifying x = 1
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