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Simplifying 2(2x + 8) + 2(x + 12) = (18x + -20) Reorder the terms: 2(8 + 2x) + 2(x + 12) = (18x + -20) (8 * 2 + 2x * 2) + 2(x + 12) = (18x + -20) (16 + 4x) + 2(x + 12) = (18x + -20) Reorder the terms: 16 + 4x + 2(12 + x) = (18x + -20) 16 + 4x + (12 * 2 + x * 2) = (18x + -20) 16 + 4x + (24 + 2x) = (18x + -20) Reorder the terms: 16 + 24 + 4x + 2x = (18x + -20) Combine like terms: 16 + 24 = 40 40 + 4x + 2x = (18x + -20) Combine like terms: 4x + 2x = 6x 40 + 6x = (18x + -20) Reorder the terms: 40 + 6x = (-20 + 18x) Remove parenthesis around (-20 + 18x) 40 + 6x = -20 + 18x Solving 40 + 6x = -20 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 40 + 6x + -18x = -20 + 18x + -18x Combine like terms: 6x + -18x = -12x 40 + -12x = -20 + 18x + -18x Combine like terms: 18x + -18x = 0 40 + -12x = -20 + 0 40 + -12x = -20 Add '-40' to each side of the equation. 40 + -40 + -12x = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -12x = -20 + -40 -12x = -20 + -40 Combine like terms: -20 + -40 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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