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Simplifying 4(6 + 7x) = 4(4x + 1) (6 * 4 + 7x * 4) = 4(4x + 1) (24 + 28x) = 4(4x + 1) Reorder the terms: 24 + 28x = 4(1 + 4x) 24 + 28x = (1 * 4 + 4x * 4) 24 + 28x = (4 + 16x) Solving 24 + 28x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 28x + -16x = 4 + 16x + -16x Combine like terms: 28x + -16x = 12x 24 + 12x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + 12x = 4 + 0 24 + 12x = 4 Add '-24' to each side of the equation. 24 + -24 + 12x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 4 + -24 12x = 4 + -24 Combine like terms: 4 + -24 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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