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Simplifying 81 = 4(x + 8) + 3x Reorder the terms: 81 = 4(8 + x) + 3x 81 = (8 * 4 + x * 4) + 3x 81 = (32 + 4x) + 3x Combine like terms: 4x + 3x = 7x 81 = 32 + 7x Solving 81 = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 81 + -7x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 81 + -7x = 32 + 0 81 + -7x = 32 Add '-81' to each side of the equation. 81 + -81 + -7x = 32 + -81 Combine like terms: 81 + -81 = 0 0 + -7x = 32 + -81 -7x = 32 + -81 Combine like terms: 32 + -81 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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