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Simplifying 0.2(x + 50) + -6 = 0.4(3x + 30) Reorder the terms: 0.2(50 + x) + -6 = 0.4(3x + 30) (50 * 0.2 + x * 0.2) + -6 = 0.4(3x + 30) (10 + 0.2x) + -6 = 0.4(3x + 30) Reorder the terms: 10 + -6 + 0.2x = 0.4(3x + 30) Combine like terms: 10 + -6 = 4 4 + 0.2x = 0.4(3x + 30) Reorder the terms: 4 + 0.2x = 0.4(30 + 3x) 4 + 0.2x = (30 * 0.4 + 3x * 0.4) 4 + 0.2x = (12 + 1.2x) Solving 4 + 0.2x = 12 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 4 + 0.2x + -1.2x = 12 + 1.2x + -1.2x Combine like terms: 0.2x + -1.2x = -1x 4 + -1x = 12 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 4 + -1x = 12 + 0.0 4 + -1x = 12 Add '-4' to each side of the equation. 4 + -4 + -1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 12 + -4 -1x = 12 + -4 Combine like terms: 12 + -4 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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