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Simplifying 11x + 8 = 10(x + 3) + 5 Reorder the terms: 8 + 11x = 10(x + 3) + 5 Reorder the terms: 8 + 11x = 10(3 + x) + 5 8 + 11x = (3 * 10 + x * 10) + 5 8 + 11x = (30 + 10x) + 5 Reorder the terms: 8 + 11x = 30 + 5 + 10x Combine like terms: 30 + 5 = 35 8 + 11x = 35 + 10x Solving 8 + 11x = 35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 11x + -10x = 35 + 10x + -10x Combine like terms: 11x + -10x = 1x 8 + 1x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 1x = 35 + 0 8 + 1x = 35 Add '-8' to each side of the equation. 8 + -8 + 1x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 35 + -8 1x = 35 + -8 Combine like terms: 35 + -8 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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