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Simplifying (2.07)(8.344) + -1(4.7)(x) = (6.3)(x + 1) Multiply 2.07 * 8.344 17.27208 + -1(4.7)(x) = (6.3)(x + 1) Multiply -1 * 4.7 17.27208 + -4.7x = (6.3)(x + 1) Reorder the terms: 17.27208 + -4.7x = 6.3(1 + x) 17.27208 + -4.7x = (1 * 6.3 + x * 6.3) 17.27208 + -4.7x = (6.3 + 6.3x) Solving 17.27208 + -4.7x = 6.3 + 6.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.3x' to each side of the equation. 17.27208 + -4.7x + -6.3x = 6.3 + 6.3x + -6.3x Combine like terms: -4.7x + -6.3x = -11x 17.27208 + -11x = 6.3 + 6.3x + -6.3x Combine like terms: 6.3x + -6.3x = 0.0 17.27208 + -11x = 6.3 + 0.0 17.27208 + -11x = 6.3 Add '-17.27208' to each side of the equation. 17.27208 + -17.27208 + -11x = 6.3 + -17.27208 Combine like terms: 17.27208 + -17.27208 = 0.00000 0.00000 + -11x = 6.3 + -17.27208 -11x = 6.3 + -17.27208 Combine like terms: 6.3 + -17.27208 = -10.97208 -11x = -10.97208 Divide each side by '-11'. x = 0.9974618182 Simplifying x = 0.9974618182
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