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Simplifying -1.285714286x + -0.6x + 1 = 0.285714285x + -0.5 Reorder the terms: 1 + -1.285714286x + -0.6x = 0.285714285x + -0.5 Combine like terms: -1.285714286x + -0.6x = -1.885714286x 1 + -1.885714286x = 0.285714285x + -0.5 Reorder the terms: 1 + -1.885714286x = -0.5 + 0.285714285x Solving 1 + -1.885714286x = -0.5 + 0.285714285x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.285714285x' to each side of the equation. 1 + -1.885714286x + -0.285714285x = -0.5 + 0.285714285x + -0.285714285x Combine like terms: -1.885714286x + -0.285714285x = -2.171428571x 1 + -2.171428571x = -0.5 + 0.285714285x + -0.285714285x Combine like terms: 0.285714285x + -0.285714285x = 0.000000000 1 + -2.171428571x = -0.5 + 0.000000000 1 + -2.171428571x = -0.5 Add '-1' to each side of the equation. 1 + -1 + -2.171428571x = -0.5 + -1 Combine like terms: 1 + -1 = 0 0 + -2.171428571x = -0.5 + -1 -2.171428571x = -0.5 + -1 Combine like terms: -0.5 + -1 = -1.5 -2.171428571x = -1.5 Divide each side by '-2.171428571'. x = 0.6907894738 Simplifying x = 0.6907894738
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