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Simplifying 5(x + 6) = 2x + -9 Reorder the terms: 5(6 + x) = 2x + -9 (6 * 5 + x * 5) = 2x + -9 (30 + 5x) = 2x + -9 Reorder the terms: 30 + 5x = -9 + 2x Solving 30 + 5x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 5x + -2x = -9 + 2x + -2x Combine like terms: 5x + -2x = 3x 30 + 3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 3x = -9 + 0 30 + 3x = -9 Add '-30' to each side of the equation. 30 + -30 + 3x = -9 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = -9 + -30 3x = -9 + -30 Combine like terms: -9 + -30 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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