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Simplifying 0.4(3x + -20) + 0.6 = x + 3.8 Reorder the terms: 0.4(-20 + 3x) + 0.6 = x + 3.8 (-20 * 0.4 + 3x * 0.4) + 0.6 = x + 3.8 (-8 + 1.2x) + 0.6 = x + 3.8 Reorder the terms: -8 + 0.6 + 1.2x = x + 3.8 Combine like terms: -8 + 0.6 = -7.4 -7.4 + 1.2x = x + 3.8 Reorder the terms: -7.4 + 1.2x = 3.8 + x Solving -7.4 + 1.2x = 3.8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7.4 + 1.2x + -1x = 3.8 + x + -1x Combine like terms: 1.2x + -1x = 0.2x -7.4 + 0.2x = 3.8 + x + -1x Combine like terms: x + -1x = 0 -7.4 + 0.2x = 3.8 + 0 -7.4 + 0.2x = 3.8 Add '7.4' to each side of the equation. -7.4 + 7.4 + 0.2x = 3.8 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + 0.2x = 3.8 + 7.4 0.2x = 3.8 + 7.4 Combine like terms: 3.8 + 7.4 = 11.2 0.2x = 11.2 Divide each side by '0.2'. x = 56 Simplifying x = 56
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