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Simplifying -5.64(6.6 + 6x) = -30.17784 + 0.7x (6.6 * -5.64 + 6x * -5.64) = -30.17784 + 0.7x (-37.224 + -33.84x) = -30.17784 + 0.7x Solving -37.224 + -33.84x = -30.17784 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -37.224 + -33.84x + -0.7x = -30.17784 + 0.7x + -0.7x Combine like terms: -33.84x + -0.7x = -34.54x -37.224 + -34.54x = -30.17784 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -37.224 + -34.54x = -30.17784 + 0.0 -37.224 + -34.54x = -30.17784 Add '37.224' to each side of the equation. -37.224 + 37.224 + -34.54x = -30.17784 + 37.224 Combine like terms: -37.224 + 37.224 = 0.000 0.000 + -34.54x = -30.17784 + 37.224 -34.54x = -30.17784 + 37.224 Combine like terms: -30.17784 + 37.224 = 7.04616 -34.54x = 7.04616 Divide each side by '-34.54'. x = -0.204 Simplifying x = -0.204
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