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Simplifying 6(2x + -16) = 6 + 4(4x + 2) Reorder the terms: 6(-16 + 2x) = 6 + 4(4x + 2) (-16 * 6 + 2x * 6) = 6 + 4(4x + 2) (-96 + 12x) = 6 + 4(4x + 2) Reorder the terms: -96 + 12x = 6 + 4(2 + 4x) -96 + 12x = 6 + (2 * 4 + 4x * 4) -96 + 12x = 6 + (8 + 16x) Combine like terms: 6 + 8 = 14 -96 + 12x = 14 + 16x Solving -96 + 12x = 14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -96 + 12x + -16x = 14 + 16x + -16x Combine like terms: 12x + -16x = -4x -96 + -4x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 -96 + -4x = 14 + 0 -96 + -4x = 14 Add '96' to each side of the equation. -96 + 96 + -4x = 14 + 96 Combine like terms: -96 + 96 = 0 0 + -4x = 14 + 96 -4x = 14 + 96 Combine like terms: 14 + 96 = 110 -4x = 110 Divide each side by '-4'. x = -27.5 Simplifying x = -27.5
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