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Simplifying 3.1x + -40 = 1.7x + 9 Reorder the terms: -40 + 3.1x = 1.7x + 9 Reorder the terms: -40 + 3.1x = 9 + 1.7x Solving -40 + 3.1x = 9 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. -40 + 3.1x + -1.7x = 9 + 1.7x + -1.7x Combine like terms: 3.1x + -1.7x = 1.4x -40 + 1.4x = 9 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 -40 + 1.4x = 9 + 0.0 -40 + 1.4x = 9 Add '40' to each side of the equation. -40 + 40 + 1.4x = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 1.4x = 9 + 40 1.4x = 9 + 40 Combine like terms: 9 + 40 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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