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Simplifying 5(4x + 2) + -6 = 3(4x + 4) Reorder the terms: 5(2 + 4x) + -6 = 3(4x + 4) (2 * 5 + 4x * 5) + -6 = 3(4x + 4) (10 + 20x) + -6 = 3(4x + 4) Reorder the terms: 10 + -6 + 20x = 3(4x + 4) Combine like terms: 10 + -6 = 4 4 + 20x = 3(4x + 4) Reorder the terms: 4 + 20x = 3(4 + 4x) 4 + 20x = (4 * 3 + 4x * 3) 4 + 20x = (12 + 12x) Solving 4 + 20x = 12 + 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. 4 + 20x + -12x = 12 + 12x + -12x Combine like terms: 20x + -12x = 8x 4 + 8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 8x = 12 + 0 4 + 8x = 12 Add '-4' to each side of the equation. 4 + -4 + 8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 12 + -4 8x = 12 + -4 Combine like terms: 12 + -4 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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