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Simplifying 3x + 36 = -5(x + 76) Reorder the terms: 36 + 3x = -5(x + 76) Reorder the terms: 36 + 3x = -5(76 + x) 36 + 3x = (76 * -5 + x * -5) 36 + 3x = (-380 + -5x) Solving 36 + 3x = -380 + -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. 36 + 3x + 5x = -380 + -5x + 5x Combine like terms: 3x + 5x = 8x 36 + 8x = -380 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 8x = -380 + 0 36 + 8x = -380 Add '-36' to each side of the equation. 36 + -36 + 8x = -380 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = -380 + -36 8x = -380 + -36 Combine like terms: -380 + -36 = -416 8x = -416 Divide each side by '8'. x = -52 Simplifying x = -52
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