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Simplifying -6(x + 6) + -2 = 2(2x + -4) Reorder the terms: -6(6 + x) + -2 = 2(2x + -4) (6 * -6 + x * -6) + -2 = 2(2x + -4) (-36 + -6x) + -2 = 2(2x + -4) Reorder the terms: -36 + -2 + -6x = 2(2x + -4) Combine like terms: -36 + -2 = -38 -38 + -6x = 2(2x + -4) Reorder the terms: -38 + -6x = 2(-4 + 2x) -38 + -6x = (-4 * 2 + 2x * 2) -38 + -6x = (-8 + 4x) Solving -38 + -6x = -8 + 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. -38 + -6x + -4x = -8 + 4x + -4x Combine like terms: -6x + -4x = -10x -38 + -10x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + -10x = -8 + 0 -38 + -10x = -8 Add '38' to each side of the equation. -38 + 38 + -10x = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -10x = -8 + 38 -10x = -8 + 38 Combine like terms: -8 + 38 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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