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Simplifying 0.1(x + 80) = 12 + -0.3x Reorder the terms: 0.1(80 + x) = 12 + -0.3x (80 * 0.1 + x * 0.1) = 12 + -0.3x (8 + 0.1x) = 12 + -0.3x Solving 8 + 0.1x = 12 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 8 + 0.1x + 0.3x = 12 + -0.3x + 0.3x Combine like terms: 0.1x + 0.3x = 0.4x 8 + 0.4x = 12 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 8 + 0.4x = 12 + 0.0 8 + 0.4x = 12 Add '-8' to each side of the equation. 8 + -8 + 0.4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 0.4x = 12 + -8 0.4x = 12 + -8 Combine like terms: 12 + -8 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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