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Simplifying 4x + 8(x + 1) + 4 = 12 + -4x Reorder the terms: 4x + 8(1 + x) + 4 = 12 + -4x 4x + (1 * 8 + x * 8) + 4 = 12 + -4x 4x + (8 + 8x) + 4 = 12 + -4x Reorder the terms: 8 + 4 + 4x + 8x = 12 + -4x Combine like terms: 8 + 4 = 12 12 + 4x + 8x = 12 + -4x Combine like terms: 4x + 8x = 12x 12 + 12x = 12 + -4x Add '-12' to each side of the equation. 12 + -12 + 12x = 12 + -12 + -4x Combine like terms: 12 + -12 = 0 0 + 12x = 12 + -12 + -4x 12x = 12 + -12 + -4x Combine like terms: 12 + -12 = 0 12x = 0 + -4x 12x = -4x Solving 12x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12x + 4x = -4x + 4x Combine like terms: 12x + 4x = 16x 16x = -4x + 4x Combine like terms: -4x + 4x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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