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Simplifying 0.7x + 0.5 * 40 = 0.4(x + 20) Multiply 0.5 * 40 0.7x + 20 = 0.4(x + 20) Reorder the terms: 20 + 0.7x = 0.4(x + 20) Reorder the terms: 20 + 0.7x = 0.4(20 + x) 20 + 0.7x = (20 * 0.4 + x * 0.4) 20 + 0.7x = (8 + 0.4x) Solving 20 + 0.7x = 8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 20 + 0.7x + -0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.7x + -0.4x = 0.3x 20 + 0.3x = 8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 20 + 0.3x = 8 + 0.0 20 + 0.3x = 8 Add '-20' to each side of the equation. 20 + -20 + 0.3x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 0.3x = 8 + -20 0.3x = 8 + -20 Combine like terms: 8 + -20 = -12 0.3x = -12 Divide each side by '0.3'. x = -40 Simplifying x = -40
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