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Simplifying 9 + -7x = -6 + -5(3x + 5) Reorder the terms: 9 + -7x = -6 + -5(5 + 3x) 9 + -7x = -6 + (5 * -5 + 3x * -5) 9 + -7x = -6 + (-25 + -15x) Combine like terms: -6 + -25 = -31 9 + -7x = -31 + -15x Solving 9 + -7x = -31 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 9 + -7x + 15x = -31 + -15x + 15x Combine like terms: -7x + 15x = 8x 9 + 8x = -31 + -15x + 15x Combine like terms: -15x + 15x = 0 9 + 8x = -31 + 0 9 + 8x = -31 Add '-9' to each side of the equation. 9 + -9 + 8x = -31 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -31 + -9 8x = -31 + -9 Combine like terms: -31 + -9 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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