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Simplifying 9(2x + 4) + -16x = 5(3 + -1x) Reorder the terms: 9(4 + 2x) + -16x = 5(3 + -1x) (4 * 9 + 2x * 9) + -16x = 5(3 + -1x) (36 + 18x) + -16x = 5(3 + -1x) Combine like terms: 18x + -16x = 2x 36 + 2x = 5(3 + -1x) 36 + 2x = (3 * 5 + -1x * 5) 36 + 2x = (15 + -5x) Solving 36 + 2x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36 + 2x + 5x = 15 + -5x + 5x Combine like terms: 2x + 5x = 7x 36 + 7x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 7x = 15 + 0 36 + 7x = 15 Add '-36' to each side of the equation. 36 + -36 + 7x = 15 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 15 + -36 7x = 15 + -36 Combine like terms: 15 + -36 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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