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Simplifying 3(x + 11) = -5(x + 4) Reorder the terms: 3(11 + x) = -5(x + 4) (11 * 3 + x * 3) = -5(x + 4) (33 + 3x) = -5(x + 4) Reorder the terms: 33 + 3x = -5(4 + x) 33 + 3x = (4 * -5 + x * -5) 33 + 3x = (-20 + -5x) Solving 33 + 3x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 33 + 3x + 5x = -20 + -5x + 5x Combine like terms: 3x + 5x = 8x 33 + 8x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 33 + 8x = -20 + 0 33 + 8x = -20 Add '-33' to each side of the equation. 33 + -33 + 8x = -20 + -33 Combine like terms: 33 + -33 = 0 0 + 8x = -20 + -33 8x = -20 + -33 Combine like terms: -20 + -33 = -53 8x = -53 Divide each side by '8'. x = -6.625 Simplifying x = -6.625
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