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Simplifying 9(x + 3) + -6(x + -7) = -3(x + -15) Reorder the terms: 9(3 + x) + -6(x + -7) = -3(x + -15) (3 * 9 + x * 9) + -6(x + -7) = -3(x + -15) (27 + 9x) + -6(x + -7) = -3(x + -15) Reorder the terms: 27 + 9x + -6(-7 + x) = -3(x + -15) 27 + 9x + (-7 * -6 + x * -6) = -3(x + -15) 27 + 9x + (42 + -6x) = -3(x + -15) Reorder the terms: 27 + 42 + 9x + -6x = -3(x + -15) Combine like terms: 27 + 42 = 69 69 + 9x + -6x = -3(x + -15) Combine like terms: 9x + -6x = 3x 69 + 3x = -3(x + -15) Reorder the terms: 69 + 3x = -3(-15 + x) 69 + 3x = (-15 * -3 + x * -3) 69 + 3x = (45 + -3x) Solving 69 + 3x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 69 + 3x + 3x = 45 + -3x + 3x Combine like terms: 3x + 3x = 6x 69 + 6x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 69 + 6x = 45 + 0 69 + 6x = 45 Add '-69' to each side of the equation. 69 + -69 + 6x = 45 + -69 Combine like terms: 69 + -69 = 0 0 + 6x = 45 + -69 6x = 45 + -69 Combine like terms: 45 + -69 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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