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Simplifying 4(2x + -8) + 1 = 3 + -4(x + -1) Reorder the terms: 4(-8 + 2x) + 1 = 3 + -4(x + -1) (-8 * 4 + 2x * 4) + 1 = 3 + -4(x + -1) (-32 + 8x) + 1 = 3 + -4(x + -1) Reorder the terms: -32 + 1 + 8x = 3 + -4(x + -1) Combine like terms: -32 + 1 = -31 -31 + 8x = 3 + -4(x + -1) Reorder the terms: -31 + 8x = 3 + -4(-1 + x) -31 + 8x = 3 + (-1 * -4 + x * -4) -31 + 8x = 3 + (4 + -4x) Combine like terms: 3 + 4 = 7 -31 + 8x = 7 + -4x Solving -31 + 8x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -31 + 8x + 4x = 7 + -4x + 4x Combine like terms: 8x + 4x = 12x -31 + 12x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -31 + 12x = 7 + 0 -31 + 12x = 7 Add '31' to each side of the equation. -31 + 31 + 12x = 7 + 31 Combine like terms: -31 + 31 = 0 0 + 12x = 7 + 31 12x = 7 + 31 Combine like terms: 7 + 31 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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