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Simplifying 4(4X + -8) + -7 = 4(X + -4) + 16 Reorder the terms: 4(-8 + 4X) + -7 = 4(X + -4) + 16 (-8 * 4 + 4X * 4) + -7 = 4(X + -4) + 16 (-32 + 16X) + -7 = 4(X + -4) + 16 Reorder the terms: -32 + -7 + 16X = 4(X + -4) + 16 Combine like terms: -32 + -7 = -39 -39 + 16X = 4(X + -4) + 16 Reorder the terms: -39 + 16X = 4(-4 + X) + 16 -39 + 16X = (-4 * 4 + X * 4) + 16 -39 + 16X = (-16 + 4X) + 16 Reorder the terms: -39 + 16X = -16 + 16 + 4X Combine like terms: -16 + 16 = 0 -39 + 16X = 0 + 4X -39 + 16X = 4X Solving -39 + 16X = 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. -39 + 16X + -4X = 4X + -4X Combine like terms: 16X + -4X = 12X -39 + 12X = 4X + -4X Combine like terms: 4X + -4X = 0 -39 + 12X = 0 Add '39' to each side of the equation. -39 + 39 + 12X = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 12X = 0 + 39 12X = 0 + 39 Combine like terms: 0 + 39 = 39 12X = 39 Divide each side by '12'. X = 3.25 Simplifying X = 3.25
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