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Simplifying 5(x + 6) = 9x + -2 Reorder the terms: 5(6 + x) = 9x + -2 (6 * 5 + x * 5) = 9x + -2 (30 + 5x) = 9x + -2 Reorder the terms: 30 + 5x = -2 + 9x Solving 30 + 5x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 5x + -9x = -2 + 9x + -9x Combine like terms: 5x + -9x = -4x 30 + -4x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -4x = -2 + 0 30 + -4x = -2 Add '-30' to each side of the equation. 30 + -30 + -4x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = -2 + -30 -4x = -2 + -30 Combine like terms: -2 + -30 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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