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Simplifying -6x + 4(3x + -3) = -2 + -4x Reorder the terms: -6x + 4(-3 + 3x) = -2 + -4x -6x + (-3 * 4 + 3x * 4) = -2 + -4x -6x + (-12 + 12x) = -2 + -4x Reorder the terms: -12 + -6x + 12x = -2 + -4x Combine like terms: -6x + 12x = 6x -12 + 6x = -2 + -4x Solving -12 + 6x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 6x + 4x = -2 + -4x + 4x Combine like terms: 6x + 4x = 10x -12 + 10x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 10x = -2 + 0 -12 + 10x = -2 Add '12' to each side of the equation. -12 + 12 + 10x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -2 + 12 10x = -2 + 12 Combine like terms: -2 + 12 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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