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Simplifying 11x + 5 + -8x = 8(x + 1) + 12 Reorder the terms: 5 + 11x + -8x = 8(x + 1) + 12 Combine like terms: 11x + -8x = 3x 5 + 3x = 8(x + 1) + 12 Reorder the terms: 5 + 3x = 8(1 + x) + 12 5 + 3x = (1 * 8 + x * 8) + 12 5 + 3x = (8 + 8x) + 12 Reorder the terms: 5 + 3x = 8 + 12 + 8x Combine like terms: 8 + 12 = 20 5 + 3x = 20 + 8x Solving 5 + 3x = 20 + 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. 5 + 3x + -8x = 20 + 8x + -8x Combine like terms: 3x + -8x = -5x 5 + -5x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -5x = 20 + 0 5 + -5x = 20 Add '-5' to each side of the equation. 5 + -5 + -5x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 20 + -5 -5x = 20 + -5 Combine like terms: 20 + -5 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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