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Simplifying 3(2x + -4) = 3(4x + -5) Reorder the terms: 3(-4 + 2x) = 3(4x + -5) (-4 * 3 + 2x * 3) = 3(4x + -5) (-12 + 6x) = 3(4x + -5) Reorder the terms: -12 + 6x = 3(-5 + 4x) -12 + 6x = (-5 * 3 + 4x * 3) -12 + 6x = (-15 + 12x) Solving -12 + 6x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 6x + -12x = -15 + 12x + -12x Combine like terms: 6x + -12x = -6x -12 + -6x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -6x = -15 + 0 -12 + -6x = -15 Add '12' to each side of the equation. -12 + 12 + -6x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -15 + 12 -6x = -15 + 12 Combine like terms: -15 + 12 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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