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Simplifying 114 + -7x = 20x + 24 Reorder the terms: 114 + -7x = 24 + 20x Solving 114 + -7x = 24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 114 + -7x + -20x = 24 + 20x + -20x Combine like terms: -7x + -20x = -27x 114 + -27x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 114 + -27x = 24 + 0 114 + -27x = 24 Add '-114' to each side of the equation. 114 + -114 + -27x = 24 + -114 Combine like terms: 114 + -114 = 0 0 + -27x = 24 + -114 -27x = 24 + -114 Combine like terms: 24 + -114 = -90 -27x = -90 Divide each side by '-27'. x = 3.333333333 Simplifying x = 3.333333333
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