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Simplifying 4(x + -4) = -8(x + 2) + 40 Reorder the terms: 4(-4 + x) = -8(x + 2) + 40 (-4 * 4 + x * 4) = -8(x + 2) + 40 (-16 + 4x) = -8(x + 2) + 40 Reorder the terms: -16 + 4x = -8(2 + x) + 40 -16 + 4x = (2 * -8 + x * -8) + 40 -16 + 4x = (-16 + -8x) + 40 Reorder the terms: -16 + 4x = -16 + 40 + -8x Combine like terms: -16 + 40 = 24 -16 + 4x = 24 + -8x Solving -16 + 4x = 24 + -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. -16 + 4x + 8x = 24 + -8x + 8x Combine like terms: 4x + 8x = 12x -16 + 12x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 12x = 24 + 0 -16 + 12x = 24 Add '16' to each side of the equation. -16 + 16 + 12x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 24 + 16 12x = 24 + 16 Combine like terms: 24 + 16 = 40 12x = 40 Divide each side by '12'. x = 3.333333333 Simplifying x = 3.333333333
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