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Simplifying 16(x + -2) = 12(x + 1) Reorder the terms: 16(-2 + x) = 12(x + 1) (-2 * 16 + x * 16) = 12(x + 1) (-32 + 16x) = 12(x + 1) Reorder the terms: -32 + 16x = 12(1 + x) -32 + 16x = (1 * 12 + x * 12) -32 + 16x = (12 + 12x) Solving -32 + 16x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 16x + -12x = 12 + 12x + -12x Combine like terms: 16x + -12x = 4x -32 + 4x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + 4x = 12 + 0 -32 + 4x = 12 Add '32' to each side of the equation. -32 + 32 + 4x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 12 + 32 4x = 12 + 32 Combine like terms: 12 + 32 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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