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Simplifying 2(6x + 6) + 8 = 2(4x) + 18 Reorder the terms: 2(6 + 6x) + 8 = 2(4x) + 18 (6 * 2 + 6x * 2) + 8 = 2(4x) + 18 (12 + 12x) + 8 = 2(4x) + 18 Reorder the terms: 12 + 8 + 12x = 2(4x) + 18 Combine like terms: 12 + 8 = 20 20 + 12x = 2(4x) + 18 Remove parenthesis around (4x) 20 + 12x = 2 * 4x + 18 Multiply 2 * 4 20 + 12x = 8x + 18 Reorder the terms: 20 + 12x = 18 + 8x Solving 20 + 12x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 12x + -8x = 18 + 8x + -8x Combine like terms: 12x + -8x = 4x 20 + 4x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 4x = 18 + 0 20 + 4x = 18 Add '-20' to each side of the equation. 20 + -20 + 4x = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 18 + -20 4x = 18 + -20 Combine like terms: 18 + -20 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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