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Simplifying 5.3x + -7.7(1.47x + -3.6) = -4.9x + 34.3221 Reorder the terms: 5.3x + -7.7(-3.6 + 1.47x) = -4.9x + 34.3221 5.3x + (-3.6 * -7.7 + 1.47x * -7.7) = -4.9x + 34.3221 5.3x + (27.72 + -11.319x) = -4.9x + 34.3221 Reorder the terms: 27.72 + 5.3x + -11.319x = -4.9x + 34.3221 Combine like terms: 5.3x + -11.319x = -6.019x 27.72 + -6.019x = -4.9x + 34.3221 Reorder the terms: 27.72 + -6.019x = 34.3221 + -4.9x Solving 27.72 + -6.019x = 34.3221 + -4.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.9x' to each side of the equation. 27.72 + -6.019x + 4.9x = 34.3221 + -4.9x + 4.9x Combine like terms: -6.019x + 4.9x = -1.119x 27.72 + -1.119x = 34.3221 + -4.9x + 4.9x Combine like terms: -4.9x + 4.9x = 0.0 27.72 + -1.119x = 34.3221 + 0.0 27.72 + -1.119x = 34.3221 Add '-27.72' to each side of the equation. 27.72 + -27.72 + -1.119x = 34.3221 + -27.72 Combine like terms: 27.72 + -27.72 = 0.00 0.00 + -1.119x = 34.3221 + -27.72 -1.119x = 34.3221 + -27.72 Combine like terms: 34.3221 + -27.72 = 6.6021 -1.119x = 6.6021 Divide each side by '-1.119'. x = -5.9 Simplifying x = -5.9
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