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Simplifying -6x + -161 = 7x + 47 Reorder the terms: -161 + -6x = 7x + 47 Reorder the terms: -161 + -6x = 47 + 7x Solving -161 + -6x = 47 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -161 + -6x + -7x = 47 + 7x + -7x Combine like terms: -6x + -7x = -13x -161 + -13x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 -161 + -13x = 47 + 0 -161 + -13x = 47 Add '161' to each side of the equation. -161 + 161 + -13x = 47 + 161 Combine like terms: -161 + 161 = 0 0 + -13x = 47 + 161 -13x = 47 + 161 Combine like terms: 47 + 161 = 208 -13x = 208 Divide each side by '-13'. x = -16 Simplifying x = -16
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