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Simplifying 0.2x + 0.4(5) = 0.3(x + 2) Multiply 0.4 * 5 0.2x + 2 = 0.3(x + 2) Reorder the terms: 2 + 0.2x = 0.3(x + 2) Reorder the terms: 2 + 0.2x = 0.3(2 + x) 2 + 0.2x = (2 * 0.3 + x * 0.3) 2 + 0.2x = (0.6 + 0.3x) Solving 2 + 0.2x = 0.6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 2 + 0.2x + -0.3x = 0.6 + 0.3x + -0.3x Combine like terms: 0.2x + -0.3x = -0.1x 2 + -0.1x = 0.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 2 + -0.1x = 0.6 + 0.0 2 + -0.1x = 0.6 Add '-2' to each side of the equation. 2 + -2 + -0.1x = 0.6 + -2 Combine like terms: 2 + -2 = 0 0 + -0.1x = 0.6 + -2 -0.1x = 0.6 + -2 Combine like terms: 0.6 + -2 = -1.4 -0.1x = -1.4 Divide each side by '-0.1'. x = 14 Simplifying x = 14
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