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Simplifying 0.1x + -0.1(4 + -1x) = 0.7 0.1x + (4 * -0.1 + -1x * -0.1) = 0.7 0.1x + (-0.4 + 0.1x) = 0.7 Reorder the terms: -0.4 + 0.1x + 0.1x = 0.7 Combine like terms: 0.1x + 0.1x = 0.2x -0.4 + 0.2x = 0.7 Solving -0.4 + 0.2x = 0.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.2x = 0.7 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.2x = 0.7 + 0.4 0.2x = 0.7 + 0.4 Combine like terms: 0.7 + 0.4 = 1.1 0.2x = 1.1 Divide each side by '0.2'. x = 5.5 Simplifying x = 5.5
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