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Simplifying -6.6(x + -7.6) + -1.43 = -3.3(1 + -5.8x) Reorder the terms: -6.6(-7.6 + x) + -1.43 = -3.3(1 + -5.8x) (-7.6 * -6.6 + x * -6.6) + -1.43 = -3.3(1 + -5.8x) (50.16 + -6.6x) + -1.43 = -3.3(1 + -5.8x) Reorder the terms: 50.16 + -1.43 + -6.6x = -3.3(1 + -5.8x) Combine like terms: 50.16 + -1.43 = 48.73 48.73 + -6.6x = -3.3(1 + -5.8x) 48.73 + -6.6x = (1 * -3.3 + -5.8x * -3.3) 48.73 + -6.6x = (-3.3 + 19.14x) Solving 48.73 + -6.6x = -3.3 + 19.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.14x' to each side of the equation. 48.73 + -6.6x + -19.14x = -3.3 + 19.14x + -19.14x Combine like terms: -6.6x + -19.14x = -25.74x 48.73 + -25.74x = -3.3 + 19.14x + -19.14x Combine like terms: 19.14x + -19.14x = 0.00 48.73 + -25.74x = -3.3 + 0.00 48.73 + -25.74x = -3.3 Add '-48.73' to each side of the equation. 48.73 + -48.73 + -25.74x = -3.3 + -48.73 Combine like terms: 48.73 + -48.73 = 0.00 0.00 + -25.74x = -3.3 + -48.73 -25.74x = -3.3 + -48.73 Combine like terms: -3.3 + -48.73 = -52.03 -25.74x = -52.03 Divide each side by '-25.74'. x = 2.021367521 Simplifying x = 2.021367521
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