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Simplifying 3x + -1 = -4(2x + -8) Reorder the terms: -1 + 3x = -4(2x + -8) Reorder the terms: -1 + 3x = -4(-8 + 2x) -1 + 3x = (-8 * -4 + 2x * -4) -1 + 3x = (32 + -8x) Solving -1 + 3x = 32 + -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. -1 + 3x + 8x = 32 + -8x + 8x Combine like terms: 3x + 8x = 11x -1 + 11x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 11x = 32 + 0 -1 + 11x = 32 Add '1' to each side of the equation. -1 + 1 + 11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 32 + 1 11x = 32 + 1 Combine like terms: 32 + 1 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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