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Simplifying 9(x + 4) = 5(4x + -4) + 1 Reorder the terms: 9(4 + x) = 5(4x + -4) + 1 (4 * 9 + x * 9) = 5(4x + -4) + 1 (36 + 9x) = 5(4x + -4) + 1 Reorder the terms: 36 + 9x = 5(-4 + 4x) + 1 36 + 9x = (-4 * 5 + 4x * 5) + 1 36 + 9x = (-20 + 20x) + 1 Reorder the terms: 36 + 9x = -20 + 1 + 20x Combine like terms: -20 + 1 = -19 36 + 9x = -19 + 20x Solving 36 + 9x = -19 + 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. 36 + 9x + -20x = -19 + 20x + -20x Combine like terms: 9x + -20x = -11x 36 + -11x = -19 + 20x + -20x Combine like terms: 20x + -20x = 0 36 + -11x = -19 + 0 36 + -11x = -19 Add '-36' to each side of the equation. 36 + -36 + -11x = -19 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = -19 + -36 -11x = -19 + -36 Combine like terms: -19 + -36 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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