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Simplifying 0.5(0.3x + 40) = 0.4(2x + -5) + 2 Reorder the terms: 0.5(40 + 0.3x) = 0.4(2x + -5) + 2 (40 * 0.5 + 0.3x * 0.5) = 0.4(2x + -5) + 2 (20 + 0.15x) = 0.4(2x + -5) + 2 Reorder the terms: 20 + 0.15x = 0.4(-5 + 2x) + 2 20 + 0.15x = (-5 * 0.4 + 2x * 0.4) + 2 20 + 0.15x = (-2 + 0.8x) + 2 Reorder the terms: 20 + 0.15x = -2 + 2 + 0.8x Combine like terms: -2 + 2 = 0 20 + 0.15x = 0 + 0.8x 20 + 0.15x = 0.8x Solving 20 + 0.15x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 20 + 0.15x + -0.8x = 0.8x + -0.8x Combine like terms: 0.15x + -0.8x = -0.65x 20 + -0.65x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 20 + -0.65x = 0.0 Add '-20' to each side of the equation. 20 + -20 + -0.65x = 0.0 + -20 Combine like terms: 20 + -20 = 0 0 + -0.65x = 0.0 + -20 -0.65x = 0.0 + -20 Combine like terms: 0.0 + -20 = -20 -0.65x = -20 Divide each side by '-0.65'. x = 30.76923077 Simplifying x = 30.76923077
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