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Simplifying 0.8x + 0.18 + -0.4x = 0.3(x + 0.2) Reorder the terms: 0.18 + 0.8x + -0.4x = 0.3(x + 0.2) Combine like terms: 0.8x + -0.4x = 0.4x 0.18 + 0.4x = 0.3(x + 0.2) Reorder the terms: 0.18 + 0.4x = 0.3(0.2 + x) 0.18 + 0.4x = (0.2 * 0.3 + x * 0.3) 0.18 + 0.4x = (0.06 + 0.3x) Solving 0.18 + 0.4x = 0.06 + 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. 0.18 + 0.4x + -0.3x = 0.06 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 0.18 + 0.1x = 0.06 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.18 + 0.1x = 0.06 + 0.0 0.18 + 0.1x = 0.06 Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.1x = 0.06 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.1x = 0.06 + -0.18 0.1x = 0.06 + -0.18 Combine like terms: 0.06 + -0.18 = -0.12 0.1x = -0.12 Divide each side by '0.1'. x = -1.2 Simplifying x = -1.2
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