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Simplifying 0.4x + -5 = 0.1(x + 10) Reorder the terms: -5 + 0.4x = 0.1(x + 10) Reorder the terms: -5 + 0.4x = 0.1(10 + x) -5 + 0.4x = (10 * 0.1 + x * 0.1) -5 + 0.4x = (1 + 0.1x) Solving -5 + 0.4x = 1 + 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. -5 + 0.4x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x -5 + 0.3x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -5 + 0.3x = 1 + 0.0 -5 + 0.3x = 1 Add '5' to each side of the equation. -5 + 5 + 0.3x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 0.3x = 1 + 5 0.3x = 1 + 5 Combine like terms: 1 + 5 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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