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Simplifying 5x + 49 = -3(x + 5) Reorder the terms: 49 + 5x = -3(x + 5) Reorder the terms: 49 + 5x = -3(5 + x) 49 + 5x = (5 * -3 + x * -3) 49 + 5x = (-15 + -3x) Solving 49 + 5x = -15 + -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. 49 + 5x + 3x = -15 + -3x + 3x Combine like terms: 5x + 3x = 8x 49 + 8x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 49 + 8x = -15 + 0 49 + 8x = -15 Add '-49' to each side of the equation. 49 + -49 + 8x = -15 + -49 Combine like terms: 49 + -49 = 0 0 + 8x = -15 + -49 8x = -15 + -49 Combine like terms: -15 + -49 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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