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Simplifying 12x + 8 + -4x = 2(x + 16) Reorder the terms: 8 + 12x + -4x = 2(x + 16) Combine like terms: 12x + -4x = 8x 8 + 8x = 2(x + 16) Reorder the terms: 8 + 8x = 2(16 + x) 8 + 8x = (16 * 2 + x * 2) 8 + 8x = (32 + 2x) Solving 8 + 8x = 32 + 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 + 8x + -2x = 32 + 2x + -2x Combine like terms: 8x + -2x = 6x 8 + 6x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = 32 + 0 8 + 6x = 32 Add '-8' to each side of the equation. 8 + -8 + 6x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 32 + -8 6x = 32 + -8 Combine like terms: 32 + -8 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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