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Simplifying 21x + -11 = 5(4x + -4) + -9 Reorder the terms: -11 + 21x = 5(4x + -4) + -9 Reorder the terms: -11 + 21x = 5(-4 + 4x) + -9 -11 + 21x = (-4 * 5 + 4x * 5) + -9 -11 + 21x = (-20 + 20x) + -9 Reorder the terms: -11 + 21x = -20 + -9 + 20x Combine like terms: -20 + -9 = -29 -11 + 21x = -29 + 20x Solving -11 + 21x = -29 + 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. -11 + 21x + -20x = -29 + 20x + -20x Combine like terms: 21x + -20x = 1x -11 + 1x = -29 + 20x + -20x Combine like terms: 20x + -20x = 0 -11 + 1x = -29 + 0 -11 + 1x = -29 Add '11' to each side of the equation. -11 + 11 + 1x = -29 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -29 + 11 1x = -29 + 11 Combine like terms: -29 + 11 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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