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Simplifying 5x + 6 = -9(7 + 2x) Reorder the terms: 6 + 5x = -9(7 + 2x) 6 + 5x = (7 * -9 + 2x * -9) 6 + 5x = (-63 + -18x) Solving 6 + 5x = -63 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 6 + 5x + 18x = -63 + -18x + 18x Combine like terms: 5x + 18x = 23x 6 + 23x = -63 + -18x + 18x Combine like terms: -18x + 18x = 0 6 + 23x = -63 + 0 6 + 23x = -63 Add '-6' to each side of the equation. 6 + -6 + 23x = -63 + -6 Combine like terms: 6 + -6 = 0 0 + 23x = -63 + -6 23x = -63 + -6 Combine like terms: -63 + -6 = -69 23x = -69 Divide each side by '23'. x = -3 Simplifying x = -3
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