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Simplifying 3x + 7 = -5(x + 5) Reorder the terms: 7 + 3x = -5(x + 5) Reorder the terms: 7 + 3x = -5(5 + x) 7 + 3x = (5 * -5 + x * -5) 7 + 3x = (-25 + -5x) Solving 7 + 3x = -25 + -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. 7 + 3x + 5x = -25 + -5x + 5x Combine like terms: 3x + 5x = 8x 7 + 8x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 8x = -25 + 0 7 + 8x = -25 Add '-7' to each side of the equation. 7 + -7 + 8x = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -25 + -7 8x = -25 + -7 Combine like terms: -25 + -7 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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