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Simplifying 110 = (6x) + (5x * 4) + [(x + -5) * 20] + (6x) Reorder the terms for easier multiplication: 110 = (6x) + (5 * 4x) + [(x + -5) * 20] + (6x) Multiply 5 * 4 110 = (6x) + (20x) + [(x + -5) * 20] + (6x) Reorder the terms: 110 = (6x) + (20x) + [(-5 + x) * 20] + (6x) Reorder the terms for easier multiplication: 110 = (6x) + (20x) + [20(-5 + x)] + (6x) 110 = (6x) + (20x) + [(-5 * 20 + x * 20)] + (6x) 110 = (6x) + (20x) + [(-100 + 20x)] + (6x) 110 = (6x) + (20x) + [-100 + 20x] + (6x) Remove brackets around [-100 + 20x] 110 = (6x) + (20x) + -100 + 20x + (6x) Reorder the terms: 110 = -100 + (6x) + (20x) + 20x + (6x) Combine like terms: (6x) + (20x) = 26x 110 = -100 + 26x + 20x + (6x) Combine like terms: 26x + 20x = 46x 110 = -100 + 46x + (6x) Combine like terms: 46x + (6x) = 52x 110 = -100 + 52x Solving 110 = -100 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 110 + -52x = -100 + 52x + -52x Combine like terms: 52x + -52x = 0 110 + -52x = -100 + 0 110 + -52x = -100 Add '-110' to each side of the equation. 110 + -110 + -52x = -100 + -110 Combine like terms: 110 + -110 = 0 0 + -52x = -100 + -110 -52x = -100 + -110 Combine like terms: -100 + -110 = -210 -52x = -210 Divide each side by '-52'. x = 4.038461538 Simplifying x = 4.038461538
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