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Simplifying 5x + 175 = 8x + 205 Reorder the terms: 175 + 5x = 8x + 205 Reorder the terms: 175 + 5x = 205 + 8x Solving 175 + 5x = 205 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 175 + 5x + -8x = 205 + 8x + -8x Combine like terms: 5x + -8x = -3x 175 + -3x = 205 + 8x + -8x Combine like terms: 8x + -8x = 0 175 + -3x = 205 + 0 175 + -3x = 205 Add '-175' to each side of the equation. 175 + -175 + -3x = 205 + -175 Combine like terms: 175 + -175 = 0 0 + -3x = 205 + -175 -3x = 205 + -175 Combine like terms: 205 + -175 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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