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Simplifying 4x + 3(4x + 7) = 4(7x + 3) + -3 Reorder the terms: 4x + 3(7 + 4x) = 4(7x + 3) + -3 4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3 4x + (21 + 12x) = 4(7x + 3) + -3 Reorder the terms: 21 + 4x + 12x = 4(7x + 3) + -3 Combine like terms: 4x + 12x = 16x 21 + 16x = 4(7x + 3) + -3 Reorder the terms: 21 + 16x = 4(3 + 7x) + -3 21 + 16x = (3 * 4 + 7x * 4) + -3 21 + 16x = (12 + 28x) + -3 Reorder the terms: 21 + 16x = 12 + -3 + 28x Combine like terms: 12 + -3 = 9 21 + 16x = 9 + 28x Solving 21 + 16x = 9 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 21 + 16x + -28x = 9 + 28x + -28x Combine like terms: 16x + -28x = -12x 21 + -12x = 9 + 28x + -28x Combine like terms: 28x + -28x = 0 21 + -12x = 9 + 0 21 + -12x = 9 Add '-21' to each side of the equation. 21 + -21 + -12x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = 9 + -21 -12x = 9 + -21 Combine like terms: 9 + -21 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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