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Simplifying 4(4x + 4) + -21 = 12x + 3 Reorder the terms: 4(4 + 4x) + -21 = 12x + 3 (4 * 4 + 4x * 4) + -21 = 12x + 3 (16 + 16x) + -21 = 12x + 3 Reorder the terms: 16 + -21 + 16x = 12x + 3 Combine like terms: 16 + -21 = -5 -5 + 16x = 12x + 3 Reorder the terms: -5 + 16x = 3 + 12x Solving -5 + 16x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 16x + -12x = 3 + 12x + -12x Combine like terms: 16x + -12x = 4x -5 + 4x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 4x = 3 + 0 -5 + 4x = 3 Add '5' to each side of the equation. -5 + 5 + 4x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 3 + 5 4x = 3 + 5 Combine like terms: 3 + 5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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