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Simplifying 0.4x + -10 = 0.1(x + 20) Reorder the terms: -10 + 0.4x = 0.1(x + 20) Reorder the terms: -10 + 0.4x = 0.1(20 + x) -10 + 0.4x = (20 * 0.1 + x * 0.1) -10 + 0.4x = (2 + 0.1x) Solving -10 + 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. -10 + 0.4x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x -10 + 0.3x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -10 + 0.3x = 2 + 0.0 -10 + 0.3x = 2 Add '10' to each side of the equation. -10 + 10 + 0.3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 0.3x = 2 + 10 0.3x = 2 + 10 Combine like terms: 2 + 10 = 12 0.3x = 12 Divide each side by '0.3'. x = 40 Simplifying x = 40
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