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Simplifying 4(3x + -2) = 6(4x + -2) Reorder the terms: 4(-2 + 3x) = 6(4x + -2) (-2 * 4 + 3x * 4) = 6(4x + -2) (-8 + 12x) = 6(4x + -2) Reorder the terms: -8 + 12x = 6(-2 + 4x) -8 + 12x = (-2 * 6 + 4x * 6) -8 + 12x = (-12 + 24x) Solving -8 + 12x = -12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -8 + 12x + -24x = -12 + 24x + -24x Combine like terms: 12x + -24x = -12x -8 + -12x = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 -8 + -12x = -12 + 0 -8 + -12x = -12 Add '8' to each side of the equation. -8 + 8 + -12x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -12 + 8 -12x = -12 + 8 Combine like terms: -12 + 8 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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