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Simplifying 17.8 + 1.37(4x + -7) + -2x = 0 Reorder the terms: 17.8 + 1.37(-7 + 4x) + -2x = 0 17.8 + (-7 * 1.37 + 4x * 1.37) + -2x = 0 17.8 + (-9.59 + 5.48x) + -2x = 0 Combine like terms: 17.8 + -9.59 = 8.21 8.21 + 5.48x + -2x = 0 Combine like terms: 5.48x + -2x = 3.48x 8.21 + 3.48x = 0 Solving 8.21 + 3.48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.21' to each side of the equation. 8.21 + -8.21 + 3.48x = 0 + -8.21 Combine like terms: 8.21 + -8.21 = 0.00 0.00 + 3.48x = 0 + -8.21 3.48x = 0 + -8.21 Combine like terms: 0 + -8.21 = -8.21 3.48x = -8.21 Divide each side by '3.48'. x = -2.359195402 Simplifying x = -2.359195402
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