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Simplifying 4(x + -1) = -8(x + 4) + 49 Reorder the terms: 4(-1 + x) = -8(x + 4) + 49 (-1 * 4 + x * 4) = -8(x + 4) + 49 (-4 + 4x) = -8(x + 4) + 49 Reorder the terms: -4 + 4x = -8(4 + x) + 49 -4 + 4x = (4 * -8 + x * -8) + 49 -4 + 4x = (-32 + -8x) + 49 Reorder the terms: -4 + 4x = -32 + 49 + -8x Combine like terms: -32 + 49 = 17 -4 + 4x = 17 + -8x Solving -4 + 4x = 17 + -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. -4 + 4x + 8x = 17 + -8x + 8x Combine like terms: 4x + 8x = 12x -4 + 12x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 12x = 17 + 0 -4 + 12x = 17 Add '4' to each side of the equation. -4 + 4 + 12x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 17 + 4 12x = 17 + 4 Combine like terms: 17 + 4 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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