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Simplifying x + 3(0.4) = 0.9(x + 3) Multiply 3 * 0.4 x + 1.2 = 0.9(x + 3) Reorder the terms: 1.2 + x = 0.9(x + 3) Reorder the terms: 1.2 + x = 0.9(3 + x) 1.2 + x = (3 * 0.9 + x * 0.9) 1.2 + x = (2.7 + 0.9x) Solving 1.2 + x = 2.7 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.2 + x + -0.9x = 2.7 + 0.9x + -0.9x Combine like terms: x + -0.9x = 0.1x 1.2 + 0.1x = 2.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.2 + 0.1x = 2.7 + 0.0 1.2 + 0.1x = 2.7 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.1x = 2.7 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.1x = 2.7 + -1.2 0.1x = 2.7 + -1.2 Combine like terms: 2.7 + -1.2 = 1.5 0.1x = 1.5 Divide each side by '0.1'. x = 15 Simplifying x = 15
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