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Simplifying 6(-2x + 4) + 16 = 2(-4x + -2) Reorder the terms: 6(4 + -2x) + 16 = 2(-4x + -2) (4 * 6 + -2x * 6) + 16 = 2(-4x + -2) (24 + -12x) + 16 = 2(-4x + -2) Reorder the terms: 24 + 16 + -12x = 2(-4x + -2) Combine like terms: 24 + 16 = 40 40 + -12x = 2(-4x + -2) Reorder the terms: 40 + -12x = 2(-2 + -4x) 40 + -12x = (-2 * 2 + -4x * 2) 40 + -12x = (-4 + -8x) Solving 40 + -12x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 40 + -12x + 8x = -4 + -8x + 8x Combine like terms: -12x + 8x = -4x 40 + -4x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + -4x = -4 + 0 40 + -4x = -4 Add '-40' to each side of the equation. 40 + -40 + -4x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = -4 + -40 -4x = -4 + -40 Combine like terms: -4 + -40 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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