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Simplifying 3(x + 1) + 120 = 8(x + 1) Reorder the terms: 3(1 + x) + 120 = 8(x + 1) (1 * 3 + x * 3) + 120 = 8(x + 1) (3 + 3x) + 120 = 8(x + 1) Reorder the terms: 3 + 120 + 3x = 8(x + 1) Combine like terms: 3 + 120 = 123 123 + 3x = 8(x + 1) Reorder the terms: 123 + 3x = 8(1 + x) 123 + 3x = (1 * 8 + x * 8) 123 + 3x = (8 + 8x) Solving 123 + 3x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 123 + 3x + -8x = 8 + 8x + -8x Combine like terms: 3x + -8x = -5x 123 + -5x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 123 + -5x = 8 + 0 123 + -5x = 8 Add '-123' to each side of the equation. 123 + -123 + -5x = 8 + -123 Combine like terms: 123 + -123 = 0 0 + -5x = 8 + -123 -5x = 8 + -123 Combine like terms: 8 + -123 = -115 -5x = -115 Divide each side by '-5'. x = 23 Simplifying x = 23
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