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Simplifying 2(6x + 4) + 2 = 4(x + 1) Reorder the terms: 2(4 + 6x) + 2 = 4(x + 1) (4 * 2 + 6x * 2) + 2 = 4(x + 1) (8 + 12x) + 2 = 4(x + 1) Reorder the terms: 8 + 2 + 12x = 4(x + 1) Combine like terms: 8 + 2 = 10 10 + 12x = 4(x + 1) Reorder the terms: 10 + 12x = 4(1 + x) 10 + 12x = (1 * 4 + x * 4) 10 + 12x = (4 + 4x) Solving 10 + 12x = 4 + 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. 10 + 12x + -4x = 4 + 4x + -4x Combine like terms: 12x + -4x = 8x 10 + 8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 8x = 4 + 0 10 + 8x = 4 Add '-10' to each side of the equation. 10 + -10 + 8x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 4 + -10 8x = 4 + -10 Combine like terms: 4 + -10 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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