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Simplifying 4.9x2 = 13x + -13 + 4.9x2 + -9.8x + -4.9 Reorder the terms: 4.9x2 = -13 + -4.9 + 13x + -9.8x + 4.9x2 Combine like terms: -13 + -4.9 = -17.9 4.9x2 = -17.9 + 13x + -9.8x + 4.9x2 Combine like terms: 13x + -9.8x = 3.2x 4.9x2 = -17.9 + 3.2x + 4.9x2 Add '-4.9x2' to each side of the equation. 4.9x2 + -4.9x2 = -17.9 + 3.2x + 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 0.0 = -17.9 + 3.2x + 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 0.0 = -17.9 + 3.2x + 0.0 0.0 = -17.9 + 3.2x Solving 0.0 = -17.9 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 0.0 + -3.2x = -17.9 + 3.2x + -3.2x Remove the zero: -3.2x = -17.9 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 -3.2x = -17.9 + 0.0 -3.2x = -17.9 Divide each side by '-3.2'. x = 5.59375 Simplifying x = 5.59375
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