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Simplifying -4(X + 4) = 6(X + 4) + 1 Reorder the terms: -4(4 + X) = 6(X + 4) + 1 (4 * -4 + X * -4) = 6(X + 4) + 1 (-16 + -4X) = 6(X + 4) + 1 Reorder the terms: -16 + -4X = 6(4 + X) + 1 -16 + -4X = (4 * 6 + X * 6) + 1 -16 + -4X = (24 + 6X) + 1 Reorder the terms: -16 + -4X = 24 + 1 + 6X Combine like terms: 24 + 1 = 25 -16 + -4X = 25 + 6X Solving -16 + -4X = 25 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -16 + -4X + -6X = 25 + 6X + -6X Combine like terms: -4X + -6X = -10X -16 + -10X = 25 + 6X + -6X Combine like terms: 6X + -6X = 0 -16 + -10X = 25 + 0 -16 + -10X = 25 Add '16' to each side of the equation. -16 + 16 + -10X = 25 + 16 Combine like terms: -16 + 16 = 0 0 + -10X = 25 + 16 -10X = 25 + 16 Combine like terms: 25 + 16 = 41 -10X = 41 Divide each side by '-10'. X = -4.1 Simplifying X = -4.1
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