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Simplifying 13x + 7 = 178 + -6x Reorder the terms: 7 + 13x = 178 + -6x Solving 7 + 13x = 178 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 13x + 6x = 178 + -6x + 6x Combine like terms: 13x + 6x = 19x 7 + 19x = 178 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 19x = 178 + 0 7 + 19x = 178 Add '-7' to each side of the equation. 7 + -7 + 19x = 178 + -7 Combine like terms: 7 + -7 = 0 0 + 19x = 178 + -7 19x = 178 + -7 Combine like terms: 178 + -7 = 171 19x = 171 Divide each side by '19'. x = 9 Simplifying x = 9
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