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Simplifying 4(X + -7) = 8(X + 4) Reorder the terms: 4(-7 + X) = 8(X + 4) (-7 * 4 + X * 4) = 8(X + 4) (-28 + 4X) = 8(X + 4) Reorder the terms: -28 + 4X = 8(4 + X) -28 + 4X = (4 * 8 + X * 8) -28 + 4X = (32 + 8X) Solving -28 + 4X = 32 + 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. -28 + 4X + -8X = 32 + 8X + -8X Combine like terms: 4X + -8X = -4X -28 + -4X = 32 + 8X + -8X Combine like terms: 8X + -8X = 0 -28 + -4X = 32 + 0 -28 + -4X = 32 Add '28' to each side of the equation. -28 + 28 + -4X = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -4X = 32 + 28 -4X = 32 + 28 Combine like terms: 32 + 28 = 60 -4X = 60 Divide each side by '-4'. X = -15 Simplifying X = -15
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