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Simplifying -6x + -182 = 7x + 65 Reorder the terms: -182 + -6x = 7x + 65 Reorder the terms: -182 + -6x = 65 + 7x Solving -182 + -6x = 65 + 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. -182 + -6x + -7x = 65 + 7x + -7x Combine like terms: -6x + -7x = -13x -182 + -13x = 65 + 7x + -7x Combine like terms: 7x + -7x = 0 -182 + -13x = 65 + 0 -182 + -13x = 65 Add '182' to each side of the equation. -182 + 182 + -13x = 65 + 182 Combine like terms: -182 + 182 = 0 0 + -13x = 65 + 182 -13x = 65 + 182 Combine like terms: 65 + 182 = 247 -13x = 247 Divide each side by '-13'. x = -19 Simplifying x = -19
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