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Simplifying 0.02(x + 50) + -6 = 0.4(3x + 20) Reorder the terms: 0.02(50 + x) + -6 = 0.4(3x + 20) (50 * 0.02 + x * 0.02) + -6 = 0.4(3x + 20) (1 + 0.02x) + -6 = 0.4(3x + 20) Reorder the terms: 1 + -6 + 0.02x = 0.4(3x + 20) Combine like terms: 1 + -6 = -5 -5 + 0.02x = 0.4(3x + 20) Reorder the terms: -5 + 0.02x = 0.4(20 + 3x) -5 + 0.02x = (20 * 0.4 + 3x * 0.4) -5 + 0.02x = (8 + 1.2x) Solving -5 + 0.02x = 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. -5 + 0.02x + -1.2x = 8 + 1.2x + -1.2x Combine like terms: 0.02x + -1.2x = -1.18x -5 + -1.18x = 8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -5 + -1.18x = 8 + 0.0 -5 + -1.18x = 8 Add '5' to each side of the equation. -5 + 5 + -1.18x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -1.18x = 8 + 5 -1.18x = 8 + 5 Combine like terms: 8 + 5 = 13 -1.18x = 13 Divide each side by '-1.18'. x = -11.01694915 Simplifying x = -11.01694915
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