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Simplifying 12x + -6 = 4.2(x + -3) Reorder the terms: -6 + 12x = 4.2(x + -3) Reorder the terms: -6 + 12x = 4.2(-3 + x) -6 + 12x = (-3 * 4.2 + x * 4.2) -6 + 12x = (-12.6 + 4.2x) Solving -6 + 12x = -12.6 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -6 + 12x + -4.2x = -12.6 + 4.2x + -4.2x Combine like terms: 12x + -4.2x = 7.8x -6 + 7.8x = -12.6 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -6 + 7.8x = -12.6 + 0.0 -6 + 7.8x = -12.6 Add '6' to each side of the equation. -6 + 6 + 7.8x = -12.6 + 6 Combine like terms: -6 + 6 = 0 0 + 7.8x = -12.6 + 6 7.8x = -12.6 + 6 Combine like terms: -12.6 + 6 = -6.6 7.8x = -6.6 Divide each side by '7.8'. x = -0.8461538462 Simplifying x = -0.8461538462
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