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Simplifying -12x + -2(4 + 3x) = -2(x + -4) -12x + (4 * -2 + 3x * -2) = -2(x + -4) -12x + (-8 + -6x) = -2(x + -4) Reorder the terms: -8 + -12x + -6x = -2(x + -4) Combine like terms: -12x + -6x = -18x -8 + -18x = -2(x + -4) Reorder the terms: -8 + -18x = -2(-4 + x) -8 + -18x = (-4 * -2 + x * -2) -8 + -18x = (8 + -2x) Solving -8 + -18x = 8 + -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. -8 + -18x + 2x = 8 + -2x + 2x Combine like terms: -18x + 2x = -16x -8 + -16x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -16x = 8 + 0 -8 + -16x = 8 Add '8' to each side of the equation. -8 + 8 + -16x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 8 + 8 -16x = 8 + 8 Combine like terms: 8 + 8 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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