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Simplifying 2(3 + -7) = 6(5x + 9) + 28 Combine like terms: 3 + -7 = -4 2(-4) = 6(5x + 9) + 28 Multiply 2 * -4 -8 = 6(5x + 9) + 28 Reorder the terms: -8 = 6(9 + 5x) + 28 -8 = (9 * 6 + 5x * 6) + 28 -8 = (54 + 30x) + 28 Reorder the terms: -8 = 54 + 28 + 30x Combine like terms: 54 + 28 = 82 -8 = 82 + 30x Solving -8 = 82 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -8 + -30x = 82 + 30x + -30x Combine like terms: 30x + -30x = 0 -8 + -30x = 82 + 0 -8 + -30x = 82 Add '8' to each side of the equation. -8 + 8 + -30x = 82 + 8 Combine like terms: -8 + 8 = 0 0 + -30x = 82 + 8 -30x = 82 + 8 Combine like terms: 82 + 8 = 90 -30x = 90 Divide each side by '-30'. x = -3 Simplifying x = -3
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