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Simplifying -46 = 6x + 5(x + 15) Reorder the terms: -46 = 6x + 5(15 + x) -46 = 6x + (15 * 5 + x * 5) -46 = 6x + (75 + 5x) Reorder the terms: -46 = 75 + 6x + 5x Combine like terms: 6x + 5x = 11x -46 = 75 + 11x Solving -46 = 75 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -46 + -11x = 75 + 11x + -11x Combine like terms: 11x + -11x = 0 -46 + -11x = 75 + 0 -46 + -11x = 75 Add '46' to each side of the equation. -46 + 46 + -11x = 75 + 46 Combine like terms: -46 + 46 = 0 0 + -11x = 75 + 46 -11x = 75 + 46 Combine like terms: 75 + 46 = 121 -11x = 121 Divide each side by '-11'. x = -11 Simplifying x = -11
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