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Simplifying 0.12(x + -2) + 0.16x = 0.18x + -0.2 Reorder the terms: 0.12(-2 + x) + 0.16x = 0.18x + -0.2 (-2 * 0.12 + x * 0.12) + 0.16x = 0.18x + -0.2 (-0.24 + 0.12x) + 0.16x = 0.18x + -0.2 Combine like terms: 0.12x + 0.16x = 0.28x -0.24 + 0.28x = 0.18x + -0.2 Reorder the terms: -0.24 + 0.28x = -0.2 + 0.18x Solving -0.24 + 0.28x = -0.2 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. -0.24 + 0.28x + -0.18x = -0.2 + 0.18x + -0.18x Combine like terms: 0.28x + -0.18x = 0.1x -0.24 + 0.1x = -0.2 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -0.24 + 0.1x = -0.2 + 0.00 -0.24 + 0.1x = -0.2 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.1x = -0.2 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.1x = -0.2 + 0.24 0.1x = -0.2 + 0.24 Combine like terms: -0.2 + 0.24 = 0.04 0.1x = 0.04 Divide each side by '0.1'. x = 0.4 Simplifying x = 0.4
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