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Simplifying 3(2x + 5) = -7(x + 9) Reorder the terms: 3(5 + 2x) = -7(x + 9) (5 * 3 + 2x * 3) = -7(x + 9) (15 + 6x) = -7(x + 9) Reorder the terms: 15 + 6x = -7(9 + x) 15 + 6x = (9 * -7 + x * -7) 15 + 6x = (-63 + -7x) Solving 15 + 6x = -63 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + 6x + 7x = -63 + -7x + 7x Combine like terms: 6x + 7x = 13x 15 + 13x = -63 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 13x = -63 + 0 15 + 13x = -63 Add '-15' to each side of the equation. 15 + -15 + 13x = -63 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -63 + -15 13x = -63 + -15 Combine like terms: -63 + -15 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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