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Simplifying 1463(11.8 + -1x) = 70(x * 7.0) (11.8 * 1463 + -1x * 1463) = 70(x * 7.0) (17263.4 + -1463x) = 70(x * 7.0) Reorder the terms for easier multiplication: 17263.4 + -1463x = 70(7.0x) Remove parenthesis around (7.0x) 17263.4 + -1463x = 70 * 7.0x Multiply 70 * 7.0 17263.4 + -1463x = 490x Solving 17263.4 + -1463x = 490x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-490x' to each side of the equation. 17263.4 + -1463x + -490x = 490x + -490x Combine like terms: -1463x + -490x = -1953x 17263.4 + -1953x = 490x + -490x Combine like terms: 490x + -490x = 0 17263.4 + -1953x = 0 Add '-17263.4' to each side of the equation. 17263.4 + -17263.4 + -1953x = 0 + -17263.4 Combine like terms: 17263.4 + -17263.4 = 0.0 0.0 + -1953x = 0 + -17263.4 -1953x = 0 + -17263.4 Combine like terms: 0 + -17263.4 = -17263.4 -1953x = -17263.4 Divide each side by '-1953'. x = 8.839426523 Simplifying x = 8.839426523
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