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Simplifying -3.8x + -38.1524 = 1.8 + -5.2(7.8 + 2.4x) Reorder the terms: -38.1524 + -3.8x = 1.8 + -5.2(7.8 + 2.4x) -38.1524 + -3.8x = 1.8 + (7.8 * -5.2 + 2.4x * -5.2) -38.1524 + -3.8x = 1.8 + (-40.56 + -12.48x) Combine like terms: 1.8 + -40.56 = -38.76 -38.1524 + -3.8x = -38.76 + -12.48x Solving -38.1524 + -3.8x = -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. -38.1524 + -3.8x + 12.48x = -38.76 + -12.48x + 12.48x Combine like terms: -3.8x + 12.48x = 8.68x -38.1524 + 8.68x = -38.76 + -12.48x + 12.48x Combine like terms: -12.48x + 12.48x = 0.00 -38.1524 + 8.68x = -38.76 + 0.00 -38.1524 + 8.68x = -38.76 Add '38.1524' to each side of the equation. -38.1524 + 38.1524 + 8.68x = -38.76 + 38.1524 Combine like terms: -38.1524 + 38.1524 = 0.0000 0.0000 + 8.68x = -38.76 + 38.1524 8.68x = -38.76 + 38.1524 Combine like terms: -38.76 + 38.1524 = -0.6076 8.68x = -0.6076 Divide each side by '8.68'. x = -0.07 Simplifying x = -0.07
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