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Simplifying 4(3x + -2) = 2(3x + -5) Reorder the terms: 4(-2 + 3x) = 2(3x + -5) (-2 * 4 + 3x * 4) = 2(3x + -5) (-8 + 12x) = 2(3x + -5) Reorder the terms: -8 + 12x = 2(-5 + 3x) -8 + 12x = (-5 * 2 + 3x * 2) -8 + 12x = (-10 + 6x) Solving -8 + 12x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 12x + -6x = -10 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = -10 + 0 -8 + 6x = -10 Add '8' to each side of the equation. -8 + 8 + 6x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -10 + 8 6x = -10 + 8 Combine like terms: -10 + 8 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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