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Simplifying x + 0.4(3) = 0.90(x + 4) Multiply 0.4 * 3 x + 1.2 = 0.90(x + 4) Reorder the terms: 1.2 + x = 0.90(x + 4) Reorder the terms: 1.2 + x = 0.90(4 + x) 1.2 + x = (4 * 0.90 + x * 0.90) 1.2 + x = (3.6 + 0.90x) Solving 1.2 + x = 3.6 + 0.90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.90x' to each side of the equation. 1.2 + x + -0.90x = 3.6 + 0.90x + -0.90x Combine like terms: x + -0.90x = 0.1x 1.2 + 0.1x = 3.6 + 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 1.2 + 0.1x = 3.6 + 0.00 1.2 + 0.1x = 3.6 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.1x = 3.6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.1x = 3.6 + -1.2 0.1x = 3.6 + -1.2 Combine like terms: 3.6 + -1.2 = 2.4 0.1x = 2.4 Divide each side by '0.1'. x = 24 Simplifying x = 24
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