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Simplifying 0.2x + 0.7(x + -1) = 0.35(1) Reorder the terms: 0.2x + 0.7(-1 + x) = 0.35(1) 0.2x + (-1 * 0.7 + x * 0.7) = 0.35(1) 0.2x + (-0.7 + 0.7x) = 0.35(1) Reorder the terms: -0.7 + 0.2x + 0.7x = 0.35(1) Combine like terms: 0.2x + 0.7x = 0.9x -0.7 + 0.9x = 0.35(1) Multiply 0.35 * 1 -0.7 + 0.9x = 0.35 Solving -0.7 + 0.9x = 0.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.9x = 0.35 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.9x = 0.35 + 0.7 0.9x = 0.35 + 0.7 Combine like terms: 0.35 + 0.7 = 1.05 0.9x = 1.05 Divide each side by '0.9'. x = 1.166666667 Simplifying x = 1.166666667
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