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Simplifying (x + 7) = 0.1(x + 0.07x) Reorder the terms: (7 + x) = 0.1(x + 0.07x) Remove parenthesis around (7 + x) 7 + x = 0.1(x + 0.07x) Combine like terms: x + 0.07x = 1.07x 7 + x = 0.1(1.07x) Remove parenthesis around (1.07x) 7 + x = 0.1 * 1.07x Multiply 0.1 * 1.07 7 + x = 0.107x Solving 7 + x = 0.107x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.107x' to each side of the equation. 7 + x + -0.107x = 0.107x + -0.107x Combine like terms: x + -0.107x = 0.893x 7 + 0.893x = 0.107x + -0.107x Combine like terms: 0.107x + -0.107x = 0.000 7 + 0.893x = 0.000 Add '-7' to each side of the equation. 7 + -7 + 0.893x = 0.000 + -7 Combine like terms: 7 + -7 = 0 0 + 0.893x = 0.000 + -7 0.893x = 0.000 + -7 Combine like terms: 0.000 + -7 = -7 0.893x = -7 Divide each side by '0.893'. x = -7.838745801 Simplifying x = -7.838745801
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