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Simplifying 6x + 172 = 13x + -10 Reorder the terms: 172 + 6x = 13x + -10 Reorder the terms: 172 + 6x = -10 + 13x Solving 172 + 6x = -10 + 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. 172 + 6x + -13x = -10 + 13x + -13x Combine like terms: 6x + -13x = -7x 172 + -7x = -10 + 13x + -13x Combine like terms: 13x + -13x = 0 172 + -7x = -10 + 0 172 + -7x = -10 Add '-172' to each side of the equation. 172 + -172 + -7x = -10 + -172 Combine like terms: 172 + -172 = 0 0 + -7x = -10 + -172 -7x = -10 + -172 Combine like terms: -10 + -172 = -182 -7x = -182 Divide each side by '-7'. x = 26 Simplifying x = 26
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