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Simplifying 5x + 169 = 13x + -7 Reorder the terms: 169 + 5x = 13x + -7 Reorder the terms: 169 + 5x = -7 + 13x Solving 169 + 5x = -7 + 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. 169 + 5x + -13x = -7 + 13x + -13x Combine like terms: 5x + -13x = -8x 169 + -8x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 169 + -8x = -7 + 0 169 + -8x = -7 Add '-169' to each side of the equation. 169 + -169 + -8x = -7 + -169 Combine like terms: 169 + -169 = 0 0 + -8x = -7 + -169 -8x = -7 + -169 Combine like terms: -7 + -169 = -176 -8x = -176 Divide each side by '-8'. x = 22 Simplifying x = 22
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