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Simplifying 3(4.6x + -1.2) = -2(-3.9x + 6.2) Reorder the terms: 3(-1.2 + 4.6x) = -2(-3.9x + 6.2) (-1.2 * 3 + 4.6x * 3) = -2(-3.9x + 6.2) (-3.6 + 13.8x) = -2(-3.9x + 6.2) Reorder the terms: -3.6 + 13.8x = -2(6.2 + -3.9x) -3.6 + 13.8x = (6.2 * -2 + -3.9x * -2) -3.6 + 13.8x = (-12.4 + 7.8x) Solving -3.6 + 13.8x = -12.4 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. -3.6 + 13.8x + -7.8x = -12.4 + 7.8x + -7.8x Combine like terms: 13.8x + -7.8x = 6x -3.6 + 6x = -12.4 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 -3.6 + 6x = -12.4 + 0.0 -3.6 + 6x = -12.4 Add '3.6' to each side of the equation. -3.6 + 3.6 + 6x = -12.4 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 6x = -12.4 + 3.6 6x = -12.4 + 3.6 Combine like terms: -12.4 + 3.6 = -8.8 6x = -8.8 Divide each side by '6'. x = -1.466666667 Simplifying x = -1.466666667
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