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Simplifying -1.8(-1.6x + 1.7) = -1.8(3.6x + -4.1) Reorder the terms: -1.8(1.7 + -1.6x) = -1.8(3.6x + -4.1) (1.7 * -1.8 + -1.6x * -1.8) = -1.8(3.6x + -4.1) (-3.06 + 2.88x) = -1.8(3.6x + -4.1) Reorder the terms: -3.06 + 2.88x = -1.8(-4.1 + 3.6x) -3.06 + 2.88x = (-4.1 * -1.8 + 3.6x * -1.8) -3.06 + 2.88x = (7.38 + -6.48x) Solving -3.06 + 2.88x = 7.38 + -6.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.48x' to each side of the equation. -3.06 + 2.88x + 6.48x = 7.38 + -6.48x + 6.48x Combine like terms: 2.88x + 6.48x = 9.36x -3.06 + 9.36x = 7.38 + -6.48x + 6.48x Combine like terms: -6.48x + 6.48x = 0.00 -3.06 + 9.36x = 7.38 + 0.00 -3.06 + 9.36x = 7.38 Add '3.06' to each side of the equation. -3.06 + 3.06 + 9.36x = 7.38 + 3.06 Combine like terms: -3.06 + 3.06 = 0.00 0.00 + 9.36x = 7.38 + 3.06 9.36x = 7.38 + 3.06 Combine like terms: 7.38 + 3.06 = 10.44 9.36x = 10.44 Divide each side by '9.36'. x = 1.115384615 Simplifying x = 1.115384615
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