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Simplifying 1.375x + -10 = 0.25x + 17 Reorder the terms: -10 + 1.375x = 0.25x + 17 Reorder the terms: -10 + 1.375x = 17 + 0.25x Solving -10 + 1.375x = 17 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -10 + 1.375x + -0.25x = 17 + 0.25x + -0.25x Combine like terms: 1.375x + -0.25x = 1.125x -10 + 1.125x = 17 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -10 + 1.125x = 17 + 0.00 -10 + 1.125x = 17 Add '10' to each side of the equation. -10 + 10 + 1.125x = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 1.125x = 17 + 10 1.125x = 17 + 10 Combine like terms: 17 + 10 = 27 1.125x = 27 Divide each side by '1.125'. x = 24 Simplifying x = 24
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