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Simplifying 0.3 + 1.8 = 0.4(x + 5) + -0.2 Combine like terms: 0.3 + 1.8 = 2.1 2.1 = 0.4(x + 5) + -0.2 Reorder the terms: 2.1 = 0.4(5 + x) + -0.2 2.1 = (5 * 0.4 + x * 0.4) + -0.2 2.1 = (2 + 0.4x) + -0.2 Reorder the terms: 2.1 = 2 + -0.2 + 0.4x Combine like terms: 2 + -0.2 = 1.8 2.1 = 1.8 + 0.4x Solving 2.1 = 1.8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 2.1 + -0.4x = 1.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2.1 + -0.4x = 1.8 + 0.0 2.1 + -0.4x = 1.8 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.4x = 1.8 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.4x = 1.8 + -2.1 -0.4x = 1.8 + -2.1 Combine like terms: 1.8 + -2.1 = -0.3 -0.4x = -0.3 Divide each side by '-0.4'. x = 0.75 Simplifying x = 0.75
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