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Simplifying 1.2(9.9x + 3.6) = -0.7(9.3x + 6.4) Reorder the terms: 1.2(3.6 + 9.9x) = -0.7(9.3x + 6.4) (3.6 * 1.2 + 9.9x * 1.2) = -0.7(9.3x + 6.4) (4.32 + 11.88x) = -0.7(9.3x + 6.4) Reorder the terms: 4.32 + 11.88x = -0.7(6.4 + 9.3x) 4.32 + 11.88x = (6.4 * -0.7 + 9.3x * -0.7) 4.32 + 11.88x = (-4.48 + -6.51x) Solving 4.32 + 11.88x = -4.48 + -6.51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.51x' to each side of the equation. 4.32 + 11.88x + 6.51x = -4.48 + -6.51x + 6.51x Combine like terms: 11.88x + 6.51x = 18.39x 4.32 + 18.39x = -4.48 + -6.51x + 6.51x Combine like terms: -6.51x + 6.51x = 0.00 4.32 + 18.39x = -4.48 + 0.00 4.32 + 18.39x = -4.48 Add '-4.32' to each side of the equation. 4.32 + -4.32 + 18.39x = -4.48 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + 18.39x = -4.48 + -4.32 18.39x = -4.48 + -4.32 Combine like terms: -4.48 + -4.32 = -8.8 18.39x = -8.8 Divide each side by '18.39'. x = -0.4785209353 Simplifying x = -0.4785209353
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