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Simplifying 4(3 + x) = 5(4x + -1) + -47 (3 * 4 + x * 4) = 5(4x + -1) + -47 (12 + 4x) = 5(4x + -1) + -47 Reorder the terms: 12 + 4x = 5(-1 + 4x) + -47 12 + 4x = (-1 * 5 + 4x * 5) + -47 12 + 4x = (-5 + 20x) + -47 Reorder the terms: 12 + 4x = -5 + -47 + 20x Combine like terms: -5 + -47 = -52 12 + 4x = -52 + 20x Solving 12 + 4x = -52 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 4x + -20x = -52 + 20x + -20x Combine like terms: 4x + -20x = -16x 12 + -16x = -52 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -16x = -52 + 0 12 + -16x = -52 Add '-12' to each side of the equation. 12 + -12 + -16x = -52 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = -52 + -12 -16x = -52 + -12 Combine like terms: -52 + -12 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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