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Simplifying 1.4(3.2 + -4.6x) = 1.6(1.2x + 3.2) (3.2 * 1.4 + -4.6x * 1.4) = 1.6(1.2x + 3.2) (4.48 + -6.44x) = 1.6(1.2x + 3.2) Reorder the terms: 4.48 + -6.44x = 1.6(3.2 + 1.2x) 4.48 + -6.44x = (3.2 * 1.6 + 1.2x * 1.6) 4.48 + -6.44x = (5.12 + 1.92x) Solving 4.48 + -6.44x = 5.12 + 1.92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.92x' to each side of the equation. 4.48 + -6.44x + -1.92x = 5.12 + 1.92x + -1.92x Combine like terms: -6.44x + -1.92x = -8.36x 4.48 + -8.36x = 5.12 + 1.92x + -1.92x Combine like terms: 1.92x + -1.92x = 0.00 4.48 + -8.36x = 5.12 + 0.00 4.48 + -8.36x = 5.12 Add '-4.48' to each side of the equation. 4.48 + -4.48 + -8.36x = 5.12 + -4.48 Combine like terms: 4.48 + -4.48 = 0.00 0.00 + -8.36x = 5.12 + -4.48 -8.36x = 5.12 + -4.48 Combine like terms: 5.12 + -4.48 = 0.64 -8.36x = 0.64 Divide each side by '-8.36'. x = -0.07655502392 Simplifying x = -0.07655502392
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