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Simplifying 3x + 81 = 9x + -5(x + 1) Reorder the terms: 81 + 3x = 9x + -5(x + 1) Reorder the terms: 81 + 3x = 9x + -5(1 + x) 81 + 3x = 9x + (1 * -5 + x * -5) 81 + 3x = 9x + (-5 + -5x) Reorder the terms: 81 + 3x = -5 + 9x + -5x Combine like terms: 9x + -5x = 4x 81 + 3x = -5 + 4x Solving 81 + 3x = -5 + 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. 81 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 81 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 81 + -1x = -5 + 0 81 + -1x = -5 Add '-81' to each side of the equation. 81 + -81 + -1x = -5 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = -5 + -81 -1x = -5 + -81 Combine like terms: -5 + -81 = -86 -1x = -86 Divide each side by '-1'. x = 86 Simplifying x = 86
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