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Simplifying 6(x + 5) = -3(x + 7) Reorder the terms: 6(5 + x) = -3(x + 7) (5 * 6 + x * 6) = -3(x + 7) (30 + 6x) = -3(x + 7) Reorder the terms: 30 + 6x = -3(7 + x) 30 + 6x = (7 * -3 + x * -3) 30 + 6x = (-21 + -3x) Solving 30 + 6x = -21 + -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. 30 + 6x + 3x = -21 + -3x + 3x Combine like terms: 6x + 3x = 9x 30 + 9x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 9x = -21 + 0 30 + 9x = -21 Add '-30' to each side of the equation. 30 + -30 + 9x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = -21 + -30 9x = -21 + -30 Combine like terms: -21 + -30 = -51 9x = -51 Divide each side by '9'. x = -5.666666667 Simplifying x = -5.666666667
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