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Simplifying -6x + -6x = 3(3x + -4) + 6(-4x + -2) Combine like terms: -6x + -6x = -12x -12x = 3(3x + -4) + 6(-4x + -2) Reorder the terms: -12x = 3(-4 + 3x) + 6(-4x + -2) -12x = (-4 * 3 + 3x * 3) + 6(-4x + -2) -12x = (-12 + 9x) + 6(-4x + -2) Reorder the terms: -12x = -12 + 9x + 6(-2 + -4x) -12x = -12 + 9x + (-2 * 6 + -4x * 6) -12x = -12 + 9x + (-12 + -24x) Reorder the terms: -12x = -12 + -12 + 9x + -24x Combine like terms: -12 + -12 = -24 -12x = -24 + 9x + -24x Combine like terms: 9x + -24x = -15x -12x = -24 + -15x Solving -12x = -24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12x + 15x = -24 + -15x + 15x Combine like terms: -12x + 15x = 3x 3x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 3x = -24 + 0 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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