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Simplifying 114 + -2x = 3x + 24 Reorder the terms: 114 + -2x = 24 + 3x Solving 114 + -2x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 114 + -2x + -3x = 24 + 3x + -3x Combine like terms: -2x + -3x = -5x 114 + -5x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 114 + -5x = 24 + 0 114 + -5x = 24 Add '-114' to each side of the equation. 114 + -114 + -5x = 24 + -114 Combine like terms: 114 + -114 = 0 0 + -5x = 24 + -114 -5x = 24 + -114 Combine like terms: 24 + -114 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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