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Simplifying -0.4(x + -3.5) = 5.216 + 9.14x Reorder the terms: -0.4(-3.5 + x) = 5.216 + 9.14x (-3.5 * -0.4 + x * -0.4) = 5.216 + 9.14x (1.4 + -0.4x) = 5.216 + 9.14x Solving 1.4 + -0.4x = 5.216 + 9.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.14x' to each side of the equation. 1.4 + -0.4x + -9.14x = 5.216 + 9.14x + -9.14x Combine like terms: -0.4x + -9.14x = -9.54x 1.4 + -9.54x = 5.216 + 9.14x + -9.14x Combine like terms: 9.14x + -9.14x = 0.00 1.4 + -9.54x = 5.216 + 0.00 1.4 + -9.54x = 5.216 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -9.54x = 5.216 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -9.54x = 5.216 + -1.4 -9.54x = 5.216 + -1.4 Combine like terms: 5.216 + -1.4 = 3.816 -9.54x = 3.816 Divide each side by '-9.54'. x = -0.4 Simplifying x = -0.4
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