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Simplifying 8(2x + 6) + -4(x + 2) = 184 Reorder the terms: 8(6 + 2x) + -4(x + 2) = 184 (6 * 8 + 2x * 8) + -4(x + 2) = 184 (48 + 16x) + -4(x + 2) = 184 Reorder the terms: 48 + 16x + -4(2 + x) = 184 48 + 16x + (2 * -4 + x * -4) = 184 48 + 16x + (-8 + -4x) = 184 Reorder the terms: 48 + -8 + 16x + -4x = 184 Combine like terms: 48 + -8 = 40 40 + 16x + -4x = 184 Combine like terms: 16x + -4x = 12x 40 + 12x = 184 Solving 40 + 12x = 184 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 12x = 184 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 184 + -40 12x = 184 + -40 Combine like terms: 184 + -40 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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