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Simplifying 4.9x + -9.6232 = -1.5 + -2.36(2.2x + -3.4) Reorder the terms: -9.6232 + 4.9x = -1.5 + -2.36(2.2x + -3.4) Reorder the terms: -9.6232 + 4.9x = -1.5 + -2.36(-3.4 + 2.2x) -9.6232 + 4.9x = -1.5 + (-3.4 * -2.36 + 2.2x * -2.36) -9.6232 + 4.9x = -1.5 + (8.024 + -5.192x) Combine like terms: -1.5 + 8.024 = 6.524 -9.6232 + 4.9x = 6.524 + -5.192x Solving -9.6232 + 4.9x = 6.524 + -5.192x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.192x' to each side of the equation. -9.6232 + 4.9x + 5.192x = 6.524 + -5.192x + 5.192x Combine like terms: 4.9x + 5.192x = 10.092x -9.6232 + 10.092x = 6.524 + -5.192x + 5.192x Combine like terms: -5.192x + 5.192x = 0.000 -9.6232 + 10.092x = 6.524 + 0.000 -9.6232 + 10.092x = 6.524 Add '9.6232' to each side of the equation. -9.6232 + 9.6232 + 10.092x = 6.524 + 9.6232 Combine like terms: -9.6232 + 9.6232 = 0.0000 0.0000 + 10.092x = 6.524 + 9.6232 10.092x = 6.524 + 9.6232 Combine like terms: 6.524 + 9.6232 = 16.1472 10.092x = 16.1472 Divide each side by '10.092'. x = 1.6 Simplifying x = 1.6
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