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Simplifying 10x + -75 = 2x + 117 Reorder the terms: -75 + 10x = 2x + 117 Reorder the terms: -75 + 10x = 117 + 2x Solving -75 + 10x = 117 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -75 + 10x + -2x = 117 + 2x + -2x Combine like terms: 10x + -2x = 8x -75 + 8x = 117 + 2x + -2x Combine like terms: 2x + -2x = 0 -75 + 8x = 117 + 0 -75 + 8x = 117 Add '75' to each side of the equation. -75 + 75 + 8x = 117 + 75 Combine like terms: -75 + 75 = 0 0 + 8x = 117 + 75 8x = 117 + 75 Combine like terms: 117 + 75 = 192 8x = 192 Divide each side by '8'. x = 24 Simplifying x = 24
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