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Simplifying 5(x + 6) = 9x + 6 Reorder the terms: 5(6 + x) = 9x + 6 (6 * 5 + x * 5) = 9x + 6 (30 + 5x) = 9x + 6 Reorder the terms: 30 + 5x = 6 + 9x Solving 30 + 5x = 6 + 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 = 6 + 9x + -9x Combine like terms: 5x + -9x = -4x 30 + -4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -4x = 6 + 0 30 + -4x = 6 Add '-30' to each side of the equation. 30 + -30 + -4x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 6 + -30 -4x = 6 + -30 Combine like terms: 6 + -30 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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