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Simplifying 2x + 8(x + 1) + 4 = 12 + -6x Reorder the terms: 2x + 8(1 + x) + 4 = 12 + -6x 2x + (1 * 8 + x * 8) + 4 = 12 + -6x 2x + (8 + 8x) + 4 = 12 + -6x Reorder the terms: 8 + 4 + 2x + 8x = 12 + -6x Combine like terms: 8 + 4 = 12 12 + 2x + 8x = 12 + -6x Combine like terms: 2x + 8x = 10x 12 + 10x = 12 + -6x Add '-12' to each side of the equation. 12 + -12 + 10x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 0 + 10x = 12 + -12 + -6x 10x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 10x = 0 + -6x 10x = -6x Solving 10x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10x + 6x = -6x + 6x Combine like terms: 10x + 6x = 16x 16x = -6x + 6x Combine like terms: -6x + 6x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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