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Simplifying 0.1 + 0.7x + -0.7 + 0.7x + -0.5 = 0 Reorder the terms: 0.1 + -0.7 + -0.5 + 0.7x + 0.7x = 0 Combine like terms: 0.1 + -0.7 = -0.6 -0.6 + -0.5 + 0.7x + 0.7x = 0 Combine like terms: -0.6 + -0.5 = -1.1 -1.1 + 0.7x + 0.7x = 0 Combine like terms: 0.7x + 0.7x = 1.4x -1.1 + 1.4x = 0 Solving -1.1 + 1.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1' to each side of the equation. -1.1 + 1.1 + 1.4x = 0 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1.4x = 0 + 1.1 1.4x = 0 + 1.1 Combine like terms: 0 + 1.1 = 1.1 1.4x = 1.1 Divide each side by '1.4'. x = 0.7857142857 Simplifying x = 0.7857142857
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