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Simplifying x + 0.1(3) = 0.40(x + 3) Multiply 0.1 * 3 x + 0.3 = 0.40(x + 3) Reorder the terms: 0.3 + x = 0.40(x + 3) Reorder the terms: 0.3 + x = 0.40(3 + x) 0.3 + x = (3 * 0.40 + x * 0.40) 0.3 + x = (1.2 + 0.40x) Solving 0.3 + x = 1.2 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 0.3 + x + -0.40x = 1.2 + 0.40x + -0.40x Combine like terms: x + -0.40x = 0.6x 0.3 + 0.6x = 1.2 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 0.3 + 0.6x = 1.2 + 0.00 0.3 + 0.6x = 1.2 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.6x = 1.2 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6x = 1.2 + -0.3 0.6x = 1.2 + -0.3 Combine like terms: 1.2 + -0.3 = 0.9 0.6x = 0.9 Divide each side by '0.6'. x = 1.5 Simplifying x = 1.5
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