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Simplifying 3(x + 2) = 8(x + 1) + 1 Reorder the terms: 3(2 + x) = 8(x + 1) + 1 (2 * 3 + x * 3) = 8(x + 1) + 1 (6 + 3x) = 8(x + 1) + 1 Reorder the terms: 6 + 3x = 8(1 + x) + 1 6 + 3x = (1 * 8 + x * 8) + 1 6 + 3x = (8 + 8x) + 1 Reorder the terms: 6 + 3x = 8 + 1 + 8x Combine like terms: 8 + 1 = 9 6 + 3x = 9 + 8x Solving 6 + 3x = 9 + 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. 6 + 3x + -8x = 9 + 8x + -8x Combine like terms: 3x + -8x = -5x 6 + -5x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -5x = 9 + 0 6 + -5x = 9 Add '-6' to each side of the equation. 6 + -6 + -5x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 9 + -6 -5x = 9 + -6 Combine like terms: 9 + -6 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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