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Simplifying 4(X + -1) = 6(X + 2) + 48 Reorder the terms: 4(-1 + X) = 6(X + 2) + 48 (-1 * 4 + X * 4) = 6(X + 2) + 48 (-4 + 4X) = 6(X + 2) + 48 Reorder the terms: -4 + 4X = 6(2 + X) + 48 -4 + 4X = (2 * 6 + X * 6) + 48 -4 + 4X = (12 + 6X) + 48 Reorder the terms: -4 + 4X = 12 + 48 + 6X Combine like terms: 12 + 48 = 60 -4 + 4X = 60 + 6X Solving -4 + 4X = 60 + 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. -4 + 4X + -6X = 60 + 6X + -6X Combine like terms: 4X + -6X = -2X -4 + -2X = 60 + 6X + -6X Combine like terms: 6X + -6X = 0 -4 + -2X = 60 + 0 -4 + -2X = 60 Add '4' to each side of the equation. -4 + 4 + -2X = 60 + 4 Combine like terms: -4 + 4 = 0 0 + -2X = 60 + 4 -2X = 60 + 4 Combine like terms: 60 + 4 = 64 -2X = 64 Divide each side by '-2'. X = -32 Simplifying X = -32
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