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Simplifying 3x(21) = 4x + -4(4x + 5) Reorder the terms for easier multiplication: 3 * 21x = 4x + -4(4x + 5) Multiply 3 * 21 63x = 4x + -4(4x + 5) Reorder the terms: 63x = 4x + -4(5 + 4x) 63x = 4x + (5 * -4 + 4x * -4) 63x = 4x + (-20 + -16x) Reorder the terms: 63x = -20 + 4x + -16x Combine like terms: 4x + -16x = -12x 63x = -20 + -12x Solving 63x = -20 + -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. 63x + 12x = -20 + -12x + 12x Combine like terms: 63x + 12x = 75x 75x = -20 + -12x + 12x Combine like terms: -12x + 12x = 0 75x = -20 + 0 75x = -20 Divide each side by '75'. x = -0.2666666667 Simplifying x = -0.2666666667
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