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Simplifying 7x + 9 = 0.11(9x + -45) Reorder the terms: 9 + 7x = 0.11(9x + -45) Reorder the terms: 9 + 7x = 0.11(-45 + 9x) 9 + 7x = (-45 * 0.11 + 9x * 0.11) 9 + 7x = (-4.95 + 0.99x) Solving 9 + 7x = -4.95 + 0.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.99x' to each side of the equation. 9 + 7x + -0.99x = -4.95 + 0.99x + -0.99x Combine like terms: 7x + -0.99x = 6.01x 9 + 6.01x = -4.95 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 9 + 6.01x = -4.95 + 0.00 9 + 6.01x = -4.95 Add '-9' to each side of the equation. 9 + -9 + 6.01x = -4.95 + -9 Combine like terms: 9 + -9 = 0 0 + 6.01x = -4.95 + -9 6.01x = -4.95 + -9 Combine like terms: -4.95 + -9 = -13.95 6.01x = -13.95 Divide each side by '6.01'. x = -2.321131448 Simplifying x = -2.321131448
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