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Simplifying 5(x + 16) = -3(x + 8) Reorder the terms: 5(16 + x) = -3(x + 8) (16 * 5 + x * 5) = -3(x + 8) (80 + 5x) = -3(x + 8) Reorder the terms: 80 + 5x = -3(8 + x) 80 + 5x = (8 * -3 + x * -3) 80 + 5x = (-24 + -3x) Solving 80 + 5x = -24 + -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. 80 + 5x + 3x = -24 + -3x + 3x Combine like terms: 5x + 3x = 8x 80 + 8x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 80 + 8x = -24 + 0 80 + 8x = -24 Add '-80' to each side of the equation. 80 + -80 + 8x = -24 + -80 Combine like terms: 80 + -80 = 0 0 + 8x = -24 + -80 8x = -24 + -80 Combine like terms: -24 + -80 = -104 8x = -104 Divide each side by '8'. x = -13 Simplifying x = -13
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