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Simplifying 15x + 96 = 6(9 + -1x) Reorder the terms: 96 + 15x = 6(9 + -1x) 96 + 15x = (9 * 6 + -1x * 6) 96 + 15x = (54 + -6x) Solving 96 + 15x = 54 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 96 + 15x + 6x = 54 + -6x + 6x Combine like terms: 15x + 6x = 21x 96 + 21x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 96 + 21x = 54 + 0 96 + 21x = 54 Add '-96' to each side of the equation. 96 + -96 + 21x = 54 + -96 Combine like terms: 96 + -96 = 0 0 + 21x = 54 + -96 21x = 54 + -96 Combine like terms: 54 + -96 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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