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Simplifying 2(12x + -16) = 8(x + 14) Reorder the terms: 2(-16 + 12x) = 8(x + 14) (-16 * 2 + 12x * 2) = 8(x + 14) (-32 + 24x) = 8(x + 14) Reorder the terms: -32 + 24x = 8(14 + x) -32 + 24x = (14 * 8 + x * 8) -32 + 24x = (112 + 8x) Solving -32 + 24x = 112 + 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. -32 + 24x + -8x = 112 + 8x + -8x Combine like terms: 24x + -8x = 16x -32 + 16x = 112 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 16x = 112 + 0 -32 + 16x = 112 Add '32' to each side of the equation. -32 + 32 + 16x = 112 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 112 + 32 16x = 112 + 32 Combine like terms: 112 + 32 = 144 16x = 144 Divide each side by '16'. x = 9 Simplifying x = 9
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