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Simplifying 0.4x + -3 = 0.1(x + 30) Reorder the terms: -3 + 0.4x = 0.1(x + 30) Reorder the terms: -3 + 0.4x = 0.1(30 + x) -3 + 0.4x = (30 * 0.1 + x * 0.1) -3 + 0.4x = (3 + 0.1x) Solving -3 + 0.4x = 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. -3 + 0.4x + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x -3 + 0.3x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -3 + 0.3x = 3 + 0.0 -3 + 0.3x = 3 Add '3' to each side of the equation. -3 + 3 + 0.3x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 0.3x = 3 + 3 0.3x = 3 + 3 Combine like terms: 3 + 3 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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