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Simplifying 6(x + 5) + -6 = -3 + (-9x + 9) + 9x Reorder the terms: 6(5 + x) + -6 = -3 + (-9x + 9) + 9x (5 * 6 + x * 6) + -6 = -3 + (-9x + 9) + 9x (30 + 6x) + -6 = -3 + (-9x + 9) + 9x Reorder the terms: 30 + -6 + 6x = -3 + (-9x + 9) + 9x Combine like terms: 30 + -6 = 24 24 + 6x = -3 + (-9x + 9) + 9x Reorder the terms: 24 + 6x = -3 + (9 + -9x) + 9x Remove parenthesis around (9 + -9x) 24 + 6x = -3 + 9 + -9x + 9x Combine like terms: -3 + 9 = 6 24 + 6x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 24 + 6x = 6 + 0 24 + 6x = 6 Solving 24 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 6 + -24 6x = 6 + -24 Combine like terms: 6 + -24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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