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Simplifying 0.5x + -6 = 0.1(x + 20) Reorder the terms: -6 + 0.5x = 0.1(x + 20) Reorder the terms: -6 + 0.5x = 0.1(20 + x) -6 + 0.5x = (20 * 0.1 + x * 0.1) -6 + 0.5x = (2 + 0.1x) Solving -6 + 0.5x = 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. -6 + 0.5x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x -6 + 0.4x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -6 + 0.4x = 2 + 0.0 -6 + 0.4x = 2 Add '6' to each side of the equation. -6 + 6 + 0.4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.4x = 2 + 6 0.4x = 2 + 6 Combine like terms: 2 + 6 = 8 0.4x = 8 Divide each side by '0.4'. x = 20 Simplifying x = 20
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