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Simplifying 1.7x + -38 = 1.2x + 8 Reorder the terms: -38 + 1.7x = 1.2x + 8 Reorder the terms: -38 + 1.7x = 8 + 1.2x Solving -38 + 1.7x = 8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -38 + 1.7x + -1.2x = 8 + 1.2x + -1.2x Combine like terms: 1.7x + -1.2x = 0.5x -38 + 0.5x = 8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -38 + 0.5x = 8 + 0.0 -38 + 0.5x = 8 Add '38' to each side of the equation. -38 + 38 + 0.5x = 8 + 38 Combine like terms: -38 + 38 = 0 0 + 0.5x = 8 + 38 0.5x = 8 + 38 Combine like terms: 8 + 38 = 46 0.5x = 46 Divide each side by '0.5'. x = 92 Simplifying x = 92
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