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Simplifying 6x + 162 = 13x + -13 Reorder the terms: 162 + 6x = 13x + -13 Reorder the terms: 162 + 6x = -13 + 13x Solving 162 + 6x = -13 + 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. 162 + 6x + -13x = -13 + 13x + -13x Combine like terms: 6x + -13x = -7x 162 + -7x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 162 + -7x = -13 + 0 162 + -7x = -13 Add '-162' to each side of the equation. 162 + -162 + -7x = -13 + -162 Combine like terms: 162 + -162 = 0 0 + -7x = -13 + -162 -7x = -13 + -162 Combine like terms: -13 + -162 = -175 -7x = -175 Divide each side by '-7'. x = 25 Simplifying x = 25
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