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Simplifying 3(x + 10) + 4(x + 20) + 5x = 185 + -3x Reorder the terms: 3(10 + x) + 4(x + 20) + 5x = 185 + -3x (10 * 3 + x * 3) + 4(x + 20) + 5x = 185 + -3x (30 + 3x) + 4(x + 20) + 5x = 185 + -3x Reorder the terms: 30 + 3x + 4(20 + x) + 5x = 185 + -3x 30 + 3x + (20 * 4 + x * 4) + 5x = 185 + -3x 30 + 3x + (80 + 4x) + 5x = 185 + -3x Reorder the terms: 30 + 80 + 3x + 4x + 5x = 185 + -3x Combine like terms: 30 + 80 = 110 110 + 3x + 4x + 5x = 185 + -3x Combine like terms: 3x + 4x = 7x 110 + 7x + 5x = 185 + -3x Combine like terms: 7x + 5x = 12x 110 + 12x = 185 + -3x Solving 110 + 12x = 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. 110 + 12x + 3x = 185 + -3x + 3x Combine like terms: 12x + 3x = 15x 110 + 15x = 185 + -3x + 3x Combine like terms: -3x + 3x = 0 110 + 15x = 185 + 0 110 + 15x = 185 Add '-110' to each side of the equation. 110 + -110 + 15x = 185 + -110 Combine like terms: 110 + -110 = 0 0 + 15x = 185 + -110 15x = 185 + -110 Combine like terms: 185 + -110 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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