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Simplifying 3.5(x + -14) = 1.3x + -3.14 Reorder the terms: 3.5(-14 + x) = 1.3x + -3.14 (-14 * 3.5 + x * 3.5) = 1.3x + -3.14 (-49 + 3.5x) = 1.3x + -3.14 Reorder the terms: -49 + 3.5x = -3.14 + 1.3x Solving -49 + 3.5x = -3.14 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -49 + 3.5x + -1.3x = -3.14 + 1.3x + -1.3x Combine like terms: 3.5x + -1.3x = 2.2x -49 + 2.2x = -3.14 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -49 + 2.2x = -3.14 + 0.0 -49 + 2.2x = -3.14 Add '49' to each side of the equation. -49 + 49 + 2.2x = -3.14 + 49 Combine like terms: -49 + 49 = 0 0 + 2.2x = -3.14 + 49 2.2x = -3.14 + 49 Combine like terms: -3.14 + 49 = 45.86 2.2x = 45.86 Divide each side by '2.2'. x = 20.84545455 Simplifying x = 20.84545455
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