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Simplifying -5.2(2.3x + 0.3) + -1.1 = 39.252 + -5.2x Reorder the terms: -5.2(0.3 + 2.3x) + -1.1 = 39.252 + -5.2x (0.3 * -5.2 + 2.3x * -5.2) + -1.1 = 39.252 + -5.2x (-1.56 + -11.96x) + -1.1 = 39.252 + -5.2x Reorder the terms: -1.56 + -1.1 + -11.96x = 39.252 + -5.2x Combine like terms: -1.56 + -1.1 = -2.66 -2.66 + -11.96x = 39.252 + -5.2x Solving -2.66 + -11.96x = 39.252 + -5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.2x' to each side of the equation. -2.66 + -11.96x + 5.2x = 39.252 + -5.2x + 5.2x Combine like terms: -11.96x + 5.2x = -6.76x -2.66 + -6.76x = 39.252 + -5.2x + 5.2x Combine like terms: -5.2x + 5.2x = 0.0 -2.66 + -6.76x = 39.252 + 0.0 -2.66 + -6.76x = 39.252 Add '2.66' to each side of the equation. -2.66 + 2.66 + -6.76x = 39.252 + 2.66 Combine like terms: -2.66 + 2.66 = 0.00 0.00 + -6.76x = 39.252 + 2.66 -6.76x = 39.252 + 2.66 Combine like terms: 39.252 + 2.66 = 41.912 -6.76x = 41.912 Divide each side by '-6.76'. x = -6.2 Simplifying x = -6.2
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