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Simplifying 5(x + 9) = -3(21 + x) Reorder the terms: 5(9 + x) = -3(21 + x) (9 * 5 + x * 5) = -3(21 + x) (45 + 5x) = -3(21 + x) 45 + 5x = (21 * -3 + x * -3) 45 + 5x = (-63 + -3x) Solving 45 + 5x = -63 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 45 + 5x + 3x = -63 + -3x + 3x Combine like terms: 5x + 3x = 8x 45 + 8x = -63 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 8x = -63 + 0 45 + 8x = -63 Add '-45' to each side of the equation. 45 + -45 + 8x = -63 + -45 Combine like terms: 45 + -45 = 0 0 + 8x = -63 + -45 8x = -63 + -45 Combine like terms: -63 + -45 = -108 8x = -108 Divide each side by '8'. x = -13.5 Simplifying x = -13.5
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