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Simplifying 5x + 178 = 13x + -6 Reorder the terms: 178 + 5x = 13x + -6 Reorder the terms: 178 + 5x = -6 + 13x Solving 178 + 5x = -6 + 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. 178 + 5x + -13x = -6 + 13x + -13x Combine like terms: 5x + -13x = -8x 178 + -8x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 178 + -8x = -6 + 0 178 + -8x = -6 Add '-178' to each side of the equation. 178 + -178 + -8x = -6 + -178 Combine like terms: 178 + -178 = 0 0 + -8x = -6 + -178 -8x = -6 + -178 Combine like terms: -6 + -178 = -184 -8x = -184 Divide each side by '-8'. x = 23 Simplifying x = 23
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