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Simplifying 15x + -117 = 10x + -27 Reorder the terms: -117 + 15x = 10x + -27 Reorder the terms: -117 + 15x = -27 + 10x Solving -117 + 15x = -27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -117 + 15x + -10x = -27 + 10x + -10x Combine like terms: 15x + -10x = 5x -117 + 5x = -27 + 10x + -10x Combine like terms: 10x + -10x = 0 -117 + 5x = -27 + 0 -117 + 5x = -27 Add '117' to each side of the equation. -117 + 117 + 5x = -27 + 117 Combine like terms: -117 + 117 = 0 0 + 5x = -27 + 117 5x = -27 + 117 Combine like terms: -27 + 117 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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