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Simplifying 2x + -2(4x + 6) = -4(x + -2) Reorder the terms: 2x + -2(6 + 4x) = -4(x + -2) 2x + (6 * -2 + 4x * -2) = -4(x + -2) 2x + (-12 + -8x) = -4(x + -2) Reorder the terms: -12 + 2x + -8x = -4(x + -2) Combine like terms: 2x + -8x = -6x -12 + -6x = -4(x + -2) Reorder the terms: -12 + -6x = -4(-2 + x) -12 + -6x = (-2 * -4 + x * -4) -12 + -6x = (8 + -4x) Solving -12 + -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. -12 + -6x + 4x = 8 + -4x + 4x Combine like terms: -6x + 4x = -2x -12 + -2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -2x = 8 + 0 -12 + -2x = 8 Add '12' to each side of the equation. -12 + 12 + -2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 8 + 12 -2x = 8 + 12 Combine like terms: 8 + 12 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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