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Simplifying (4x + -16) + -1(4x + 8) = 3x + -81 Reorder the terms: (-16 + 4x) + -1(4x + 8) = 3x + -81 Remove parenthesis around (-16 + 4x) -16 + 4x + -1(4x + 8) = 3x + -81 Reorder the terms: -16 + 4x + -1(8 + 4x) = 3x + -81 -16 + 4x + (8 * -1 + 4x * -1) = 3x + -81 -16 + 4x + (-8 + -4x) = 3x + -81 Reorder the terms: -16 + -8 + 4x + -4x = 3x + -81 Combine like terms: -16 + -8 = -24 -24 + 4x + -4x = 3x + -81 Combine like terms: 4x + -4x = 0 -24 + 0 = 3x + -81 -24 = 3x + -81 Reorder the terms: -24 = -81 + 3x Solving -24 = -81 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + -3x = -81 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -3x = -81 + 0 -24 + -3x = -81 Add '24' to each side of the equation. -24 + 24 + -3x = -81 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -81 + 24 -3x = -81 + 24 Combine like terms: -81 + 24 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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