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Simplifying 7 + -0.75x = -7(0.1071428571x + 1) Reorder the terms: 7 + -0.75x = -7(1 + 0.1071428571x) 7 + -0.75x = (1 * -7 + 0.1071428571x * -7) 7 + -0.75x = (-7 + -0.7499999997x) Solving 7 + -0.75x = -7 + -0.7499999997x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7499999997x' to each side of the equation. 7 + -0.75x + 0.7499999997x = -7 + -0.7499999997x + 0.7499999997x Combine like terms: -0.75x + 0.7499999997x = -0.0000000003x 7 + -0.0000000003x = -7 + -0.7499999997x + 0.7499999997x Combine like terms: -0.7499999997x + 0.7499999997x = 0.0000000000 7 + -0.0000000003x = -7 + 0.0000000000 7 + -0.0000000003x = -7 Add '-7' to each side of the equation. 7 + -7 + -0.0000000003x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -0.0000000003x = -7 + -7 -0.0000000003x = -7 + -7 Combine like terms: -7 + -7 = -14 -0.0000000003x = -14 Divide each side by '-0.0000000003'. x = 46666666670 Simplifying x = 46666666670
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