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Simplifying 0.5x + 12 = 0.3x + -1.4 Reorder the terms: 12 + 0.5x = 0.3x + -1.4 Reorder the terms: 12 + 0.5x = -1.4 + 0.3x Solving 12 + 0.5x = -1.4 + 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. 12 + 0.5x + -0.3x = -1.4 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 12 + 0.2x = -1.4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 12 + 0.2x = -1.4 + 0.0 12 + 0.2x = -1.4 Add '-12' to each side of the equation. 12 + -12 + 0.2x = -1.4 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = -1.4 + -12 0.2x = -1.4 + -12 Combine like terms: -1.4 + -12 = -13.4 0.2x = -13.4 Divide each side by '0.2'. x = -67 Simplifying x = -67
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