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Simplifying -3.8 + -38.1524 = 1.8 + -5.2(7.8 + 2.4x) Combine like terms: -3.8 + -38.1524 = -41.9524 -41.9524 = 1.8 + -5.2(7.8 + 2.4x) -41.9524 = 1.8 + (7.8 * -5.2 + 2.4x * -5.2) -41.9524 = 1.8 + (-40.56 + -12.48x) Combine like terms: 1.8 + -40.56 = -38.76 -41.9524 = -38.76 + -12.48x Solving -41.9524 = -38.76 + -12.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.48x' to each side of the equation. -41.9524 + 12.48x = -38.76 + -12.48x + 12.48x Combine like terms: -12.48x + 12.48x = 0.00 -41.9524 + 12.48x = -38.76 + 0.00 -41.9524 + 12.48x = -38.76 Add '41.9524' to each side of the equation. -41.9524 + 41.9524 + 12.48x = -38.76 + 41.9524 Combine like terms: -41.9524 + 41.9524 = 0.0000 0.0000 + 12.48x = -38.76 + 41.9524 12.48x = -38.76 + 41.9524 Combine like terms: -38.76 + 41.9524 = 3.1924 12.48x = 3.1924 Divide each side by '12.48'. x = 0.2558012821 Simplifying x = 0.2558012821
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