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Simplifying -1(1 + 4x) + 8(6 + 2x) = 47 (1 * -1 + 4x * -1) + 8(6 + 2x) = 47 (-1 + -4x) + 8(6 + 2x) = 47 -1 + -4x + (6 * 8 + 2x * 8) = 47 -1 + -4x + (48 + 16x) = 47 Reorder the terms: -1 + 48 + -4x + 16x = 47 Combine like terms: -1 + 48 = 47 47 + -4x + 16x = 47 Combine like terms: -4x + 16x = 12x 47 + 12x = 47 Add '-47' to each side of the equation. 47 + -47 + 12x = 47 + -47 Combine like terms: 47 + -47 = 0 0 + 12x = 47 + -47 12x = 47 + -47 Combine like terms: 47 + -47 = 0 12x = 0 Solving 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 0 Simplifying x = 0
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