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Simplifying 3x + 114 = 8x + 184 Reorder the terms: 114 + 3x = 8x + 184 Reorder the terms: 114 + 3x = 184 + 8x Solving 114 + 3x = 184 + 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. 114 + 3x + -8x = 184 + 8x + -8x Combine like terms: 3x + -8x = -5x 114 + -5x = 184 + 8x + -8x Combine like terms: 8x + -8x = 0 114 + -5x = 184 + 0 114 + -5x = 184 Add '-114' to each side of the equation. 114 + -114 + -5x = 184 + -114 Combine like terms: 114 + -114 = 0 0 + -5x = 184 + -114 -5x = 184 + -114 Combine like terms: 184 + -114 = 70 -5x = 70 Divide each side by '-5'. x = -14 Simplifying x = -14
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