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Simplifying 9(4x + 6) = -7(8x + 15) Reorder the terms: 9(6 + 4x) = -7(8x + 15) (6 * 9 + 4x * 9) = -7(8x + 15) (54 + 36x) = -7(8x + 15) Reorder the terms: 54 + 36x = -7(15 + 8x) 54 + 36x = (15 * -7 + 8x * -7) 54 + 36x = (-105 + -56x) Solving 54 + 36x = -105 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 54 + 36x + 56x = -105 + -56x + 56x Combine like terms: 36x + 56x = 92x 54 + 92x = -105 + -56x + 56x Combine like terms: -56x + 56x = 0 54 + 92x = -105 + 0 54 + 92x = -105 Add '-54' to each side of the equation. 54 + -54 + 92x = -105 + -54 Combine like terms: 54 + -54 = 0 0 + 92x = -105 + -54 92x = -105 + -54 Combine like terms: -105 + -54 = -159 92x = -159 Divide each side by '92'. x = -1.72826087 Simplifying x = -1.72826087
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