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Simplifying 12 + -3x = 0.2(3 + 4.3x + -6) Reorder the terms: 12 + -3x = 0.2(3 + -6 + 4.3x) Combine like terms: 3 + -6 = -3 12 + -3x = 0.2(-3 + 4.3x) 12 + -3x = (-3 * 0.2 + 4.3x * 0.2) 12 + -3x = (-0.6 + 0.86x) Solving 12 + -3x = -0.6 + 0.86x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.86x' to each side of the equation. 12 + -3x + -0.86x = -0.6 + 0.86x + -0.86x Combine like terms: -3x + -0.86x = -3.86x 12 + -3.86x = -0.6 + 0.86x + -0.86x Combine like terms: 0.86x + -0.86x = 0.00 12 + -3.86x = -0.6 + 0.00 12 + -3.86x = -0.6 Add '-12' to each side of the equation. 12 + -12 + -3.86x = -0.6 + -12 Combine like terms: 12 + -12 = 0 0 + -3.86x = -0.6 + -12 -3.86x = -0.6 + -12 Combine like terms: -0.6 + -12 = -12.6 -3.86x = -12.6 Divide each side by '-3.86'. x = 3.264248705 Simplifying x = 3.264248705
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