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