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Simplifying -6(3x + -2) = 4(-3 + -2x) Reorder the terms: -6(-2 + 3x) = 4(-3 + -2x) (-2 * -6 + 3x * -6) = 4(-3 + -2x) (12 + -18x) = 4(-3 + -2x) 12 + -18x = (-3 * 4 + -2x * 4) 12 + -18x = (-12 + -8x) Solving 12 + -18x = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -18x + 8x = -12 + -8x + 8x Combine like terms: -18x + 8x = -10x 12 + -10x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + -10x = -12 + 0 12 + -10x = -12 Add '-12' to each side of the equation. 12 + -12 + -10x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -12 + -12 -10x = -12 + -12 Combine like terms: -12 + -12 = -24 -10x = -24 Divide each side by '-10'. x = 2.4 Simplifying x = 2.4
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