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Simplifying 6x + 182 = 13x + -14 Reorder the terms: 182 + 6x = 13x + -14 Reorder the terms: 182 + 6x = -14 + 13x Solving 182 + 6x = -14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 182 + 6x + -13x = -14 + 13x + -13x Combine like terms: 6x + -13x = -7x 182 + -7x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 182 + -7x = -14 + 0 182 + -7x = -14 Add '-182' to each side of the equation. 182 + -182 + -7x = -14 + -182 Combine like terms: 182 + -182 = 0 0 + -7x = -14 + -182 -7x = -14 + -182 Combine like terms: -14 + -182 = -196 -7x = -196 Divide each side by '-7'. x = 28 Simplifying x = 28
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