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Simplifying 8(x + 3) + 11 = 15 + 2(x + 35) Reorder the terms: 8(3 + x) + 11 = 15 + 2(x + 35) (3 * 8 + x * 8) + 11 = 15 + 2(x + 35) (24 + 8x) + 11 = 15 + 2(x + 35) Reorder the terms: 24 + 11 + 8x = 15 + 2(x + 35) Combine like terms: 24 + 11 = 35 35 + 8x = 15 + 2(x + 35) Reorder the terms: 35 + 8x = 15 + 2(35 + x) 35 + 8x = 15 + (35 * 2 + x * 2) 35 + 8x = 15 + (70 + 2x) Combine like terms: 15 + 70 = 85 35 + 8x = 85 + 2x Solving 35 + 8x = 85 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + 8x + -2x = 85 + 2x + -2x Combine like terms: 8x + -2x = 6x 35 + 6x = 85 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 6x = 85 + 0 35 + 6x = 85 Add '-35' to each side of the equation. 35 + -35 + 6x = 85 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 85 + -35 6x = 85 + -35 Combine like terms: 85 + -35 = 50 6x = 50 Divide each side by '6'. x = 8.333333333 Simplifying x = 8.333333333
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