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Simplifying 0.2(x + -50) + 6 = 0.4(3x + 20) Reorder the terms: 0.2(-50 + x) + 6 = 0.4(3x + 20) (-50 * 0.2 + x * 0.2) + 6 = 0.4(3x + 20) (-10 + 0.2x) + 6 = 0.4(3x + 20) Reorder the terms: -10 + 6 + 0.2x = 0.4(3x + 20) Combine like terms: -10 + 6 = -4 -4 + 0.2x = 0.4(3x + 20) Reorder the terms: -4 + 0.2x = 0.4(20 + 3x) -4 + 0.2x = (20 * 0.4 + 3x * 0.4) -4 + 0.2x = (8 + 1.2x) Solving -4 + 0.2x = 8 + 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 = 8 + 1.2x + -1.2x Combine like terms: 0.2x + -1.2x = -1x -4 + -1x = 8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -4 + -1x = 8 + 0.0 -4 + -1x = 8 Add '4' to each side of the equation. -4 + 4 + -1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 8 + 4 -1x = 8 + 4 Combine like terms: 8 + 4 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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