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Simplifying 1.2(x + -4) + 0.3x + 6 = 0 Reorder the terms: 1.2(-4 + x) + 0.3x + 6 = 0 (-4 * 1.2 + x * 1.2) + 0.3x + 6 = 0 (-4.8 + 1.2x) + 0.3x + 6 = 0 Reorder the terms: -4.8 + 6 + 1.2x + 0.3x = 0 Combine like terms: -4.8 + 6 = 1.2 1.2 + 1.2x + 0.3x = 0 Combine like terms: 1.2x + 0.3x = 1.5x 1.2 + 1.5x = 0 Solving 1.2 + 1.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1.5x = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1.5x = 0 + -1.2 1.5x = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 1.5x = -1.2 Divide each side by '1.5'. x = -0.8 Simplifying x = -0.8
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