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Simplifying 8(x + -1) = -4(x + 4) + 38 Reorder the terms: 8(-1 + x) = -4(x + 4) + 38 (-1 * 8 + x * 8) = -4(x + 4) + 38 (-8 + 8x) = -4(x + 4) + 38 Reorder the terms: -8 + 8x = -4(4 + x) + 38 -8 + 8x = (4 * -4 + x * -4) + 38 -8 + 8x = (-16 + -4x) + 38 Reorder the terms: -8 + 8x = -16 + 38 + -4x Combine like terms: -16 + 38 = 22 -8 + 8x = 22 + -4x Solving -8 + 8x = 22 + -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. -8 + 8x + 4x = 22 + -4x + 4x Combine like terms: 8x + 4x = 12x -8 + 12x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 12x = 22 + 0 -8 + 12x = 22 Add '8' to each side of the equation. -8 + 8 + 12x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 22 + 8 12x = 22 + 8 Combine like terms: 22 + 8 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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