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Simplifying 0.4x + -1 = 0.1(x + 20) Reorder the terms: -1 + 0.4x = 0.1(x + 20) Reorder the terms: -1 + 0.4x = 0.1(20 + x) -1 + 0.4x = (20 * 0.1 + x * 0.1) -1 + 0.4x = (2 + 0.1x) Solving -1 + 0.4x = 2 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -1 + 0.4x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x -1 + 0.3x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -1 + 0.3x = 2 + 0.0 -1 + 0.3x = 2 Add '1' to each side of the equation. -1 + 1 + 0.3x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 0.3x = 2 + 1 0.3x = 2 + 1 Combine like terms: 2 + 1 = 3 0.3x = 3 Divide each side by '0.3'. x = 10 Simplifying x = 10
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