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Simplifying 3(4x + -2) = 6x + -4(3 + x) Reorder the terms: 3(-2 + 4x) = 6x + -4(3 + x) (-2 * 3 + 4x * 3) = 6x + -4(3 + x) (-6 + 12x) = 6x + -4(3 + x) -6 + 12x = 6x + (3 * -4 + x * -4) -6 + 12x = 6x + (-12 + -4x) Reorder the terms: -6 + 12x = -12 + 6x + -4x Combine like terms: 6x + -4x = 2x -6 + 12x = -12 + 2x Solving -6 + 12x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 12x + -2x = -12 + 2x + -2x Combine like terms: 12x + -2x = 10x -6 + 10x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 10x = -12 + 0 -6 + 10x = -12 Add '6' to each side of the equation. -6 + 6 + 10x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -12 + 6 10x = -12 + 6 Combine like terms: -12 + 6 = -6 10x = -6 Divide each side by '10'. x = -0.6 Simplifying x = -0.6
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