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Simplifying 0.12(3x + -2) = 0.4x + 0.6 Reorder the terms: 0.12(-2 + 3x) = 0.4x + 0.6 (-2 * 0.12 + 3x * 0.12) = 0.4x + 0.6 (-0.24 + 0.36x) = 0.4x + 0.6 Reorder the terms: -0.24 + 0.36x = 0.6 + 0.4x Solving -0.24 + 0.36x = 0.6 + 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. -0.24 + 0.36x + -0.4x = 0.6 + 0.4x + -0.4x Combine like terms: 0.36x + -0.4x = -0.04x -0.24 + -0.04x = 0.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.24 + -0.04x = 0.6 + 0.0 -0.24 + -0.04x = 0.6 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.04x = 0.6 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.04x = 0.6 + 0.24 -0.04x = 0.6 + 0.24 Combine like terms: 0.6 + 0.24 = 0.84 -0.04x = 0.84 Divide each side by '-0.04'. x = -21 Simplifying x = -21
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