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Simplifying 0.3x + 1.8 = 0.4(x + 5) + -0.2 Reorder the terms: 1.8 + 0.3x = 0.4(x + 5) + -0.2 Reorder the terms: 1.8 + 0.3x = 0.4(5 + x) + -0.2 1.8 + 0.3x = (5 * 0.4 + x * 0.4) + -0.2 1.8 + 0.3x = (2 + 0.4x) + -0.2 Reorder the terms: 1.8 + 0.3x = 2 + -0.2 + 0.4x Combine like terms: 2 + -0.2 = 1.8 1.8 + 0.3x = 1.8 + 0.4x Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.3x = 1.8 + -1.8 + 0.4x Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.3x = 1.8 + -1.8 + 0.4x 0.3x = 1.8 + -1.8 + 0.4x Combine like terms: 1.8 + -1.8 = 0.0 0.3x = 0.0 + 0.4x 0.3x = 0.4x Solving 0.3x = 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. 0.3x + -0.4x = 0.4x + -0.4x Combine like terms: 0.3x + -0.4x = -0.1x -0.1x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.1x = 0.0 Divide each side by '-0.1'. x = 0 Simplifying x = 0
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