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Simplifying 3(x + 10) + 4(x + 20) + 5 = 185 + -3x Reorder the terms: 3(10 + x) + 4(x + 20) + 5 = 185 + -3x (10 * 3 + x * 3) + 4(x + 20) + 5 = 185 + -3x (30 + 3x) + 4(x + 20) + 5 = 185 + -3x Reorder the terms: 30 + 3x + 4(20 + x) + 5 = 185 + -3x 30 + 3x + (20 * 4 + x * 4) + 5 = 185 + -3x 30 + 3x + (80 + 4x) + 5 = 185 + -3x Reorder the terms: 30 + 80 + 5 + 3x + 4x = 185 + -3x Combine like terms: 30 + 80 = 110 110 + 5 + 3x + 4x = 185 + -3x Combine like terms: 110 + 5 = 115 115 + 3x + 4x = 185 + -3x Combine like terms: 3x + 4x = 7x 115 + 7x = 185 + -3x Solving 115 + 7x = 185 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 115 + 7x + 3x = 185 + -3x + 3x Combine like terms: 7x + 3x = 10x 115 + 10x = 185 + -3x + 3x Combine like terms: -3x + 3x = 0 115 + 10x = 185 + 0 115 + 10x = 185 Add '-115' to each side of the equation. 115 + -115 + 10x = 185 + -115 Combine like terms: 115 + -115 = 0 0 + 10x = 185 + -115 10x = 185 + -115 Combine like terms: 185 + -115 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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