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Simplifying 11(2x + 42) = 15x + -100 Reorder the terms: 11(42 + 2x) = 15x + -100 (42 * 11 + 2x * 11) = 15x + -100 (462 + 22x) = 15x + -100 Reorder the terms: 462 + 22x = -100 + 15x Solving 462 + 22x = -100 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 462 + 22x + -15x = -100 + 15x + -15x Combine like terms: 22x + -15x = 7x 462 + 7x = -100 + 15x + -15x Combine like terms: 15x + -15x = 0 462 + 7x = -100 + 0 462 + 7x = -100 Add '-462' to each side of the equation. 462 + -462 + 7x = -100 + -462 Combine like terms: 462 + -462 = 0 0 + 7x = -100 + -462 7x = -100 + -462 Combine like terms: -100 + -462 = -562 7x = -562 Divide each side by '7'. x = -80.28571429 Simplifying x = -80.28571429
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