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Simplifying 0.3x + -5 = 0.1(x + 30) Reorder the terms: -5 + 0.3x = 0.1(x + 30) Reorder the terms: -5 + 0.3x = 0.1(30 + x) -5 + 0.3x = (30 * 0.1 + x * 0.1) -5 + 0.3x = (3 + 0.1x) Solving -5 + 0.3x = 3 + 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 + 0.3x + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x -5 + 0.2x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -5 + 0.2x = 3 + 0.0 -5 + 0.2x = 3 Add '5' to each side of the equation. -5 + 5 + 0.2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 0.2x = 3 + 5 0.2x = 3 + 5 Combine like terms: 3 + 5 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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