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Simplifying 0.4(x + 3) = 0.04(3x + 40) Reorder the terms: 0.4(3 + x) = 0.04(3x + 40) (3 * 0.4 + x * 0.4) = 0.04(3x + 40) (1.2 + 0.4x) = 0.04(3x + 40) Reorder the terms: 1.2 + 0.4x = 0.04(40 + 3x) 1.2 + 0.4x = (40 * 0.04 + 3x * 0.04) 1.2 + 0.4x = (1.6 + 0.12x) Solving 1.2 + 0.4x = 1.6 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 1.2 + 0.4x + -0.12x = 1.6 + 0.12x + -0.12x Combine like terms: 0.4x + -0.12x = 0.28x 1.2 + 0.28x = 1.6 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1.2 + 0.28x = 1.6 + 0.00 1.2 + 0.28x = 1.6 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.28x = 1.6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.28x = 1.6 + -1.2 0.28x = 1.6 + -1.2 Combine like terms: 1.6 + -1.2 = 0.4 0.28x = 0.4 Divide each side by '0.28'. x = 1.428571429 Simplifying x = 1.428571429
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