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Simplifying -6x + -46 = 5(x + 4) Reorder the terms: -46 + -6x = 5(x + 4) Reorder the terms: -46 + -6x = 5(4 + x) -46 + -6x = (4 * 5 + x * 5) -46 + -6x = (20 + 5x) Solving -46 + -6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -46 + -6x + -5x = 20 + 5x + -5x Combine like terms: -6x + -5x = -11x -46 + -11x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + -11x = 20 + 0 -46 + -11x = 20 Add '46' to each side of the equation. -46 + 46 + -11x = 20 + 46 Combine like terms: -46 + 46 = 0 0 + -11x = 20 + 46 -11x = 20 + 46 Combine like terms: 20 + 46 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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