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Simplifying 5x + -114 = 150 + -6x Reorder the terms: -114 + 5x = 150 + -6x Solving -114 + 5x = 150 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -114 + 5x + 6x = 150 + -6x + 6x Combine like terms: 5x + 6x = 11x -114 + 11x = 150 + -6x + 6x Combine like terms: -6x + 6x = 0 -114 + 11x = 150 + 0 -114 + 11x = 150 Add '114' to each side of the equation. -114 + 114 + 11x = 150 + 114 Combine like terms: -114 + 114 = 0 0 + 11x = 150 + 114 11x = 150 + 114 Combine like terms: 150 + 114 = 264 11x = 264 Divide each side by '11'. x = 24 Simplifying x = 24
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