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Simplifying 0.12x + 3 = 0.3x + -6 Reorder the terms: 3 + 0.12x = 0.3x + -6 Reorder the terms: 3 + 0.12x = -6 + 0.3x Solving 3 + 0.12x = -6 + 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. 3 + 0.12x + -0.3x = -6 + 0.3x + -0.3x Combine like terms: 0.12x + -0.3x = -0.18x 3 + -0.18x = -6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + -0.18x = -6 + 0.0 3 + -0.18x = -6 Add '-3' to each side of the equation. 3 + -3 + -0.18x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -0.18x = -6 + -3 -0.18x = -6 + -3 Combine like terms: -6 + -3 = -9 -0.18x = -9 Divide each side by '-0.18'. x = 50 Simplifying x = 50
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