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Simplifying 4x + 21 = 5(4x + -4) + 9 Reorder the terms: 21 + 4x = 5(4x + -4) + 9 Reorder the terms: 21 + 4x = 5(-4 + 4x) + 9 21 + 4x = (-4 * 5 + 4x * 5) + 9 21 + 4x = (-20 + 20x) + 9 Reorder the terms: 21 + 4x = -20 + 9 + 20x Combine like terms: -20 + 9 = -11 21 + 4x = -11 + 20x Solving 21 + 4x = -11 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 21 + 4x + -20x = -11 + 20x + -20x Combine like terms: 4x + -20x = -16x 21 + -16x = -11 + 20x + -20x Combine like terms: 20x + -20x = 0 21 + -16x = -11 + 0 21 + -16x = -11 Add '-21' to each side of the equation. 21 + -21 + -16x = -11 + -21 Combine like terms: 21 + -21 = 0 0 + -16x = -11 + -21 -16x = -11 + -21 Combine like terms: -11 + -21 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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