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Simplifying 5x + 7 = -3(x + 3) Reorder the terms: 7 + 5x = -3(x + 3) Reorder the terms: 7 + 5x = -3(3 + x) 7 + 5x = (3 * -3 + x * -3) 7 + 5x = (-9 + -3x) Solving 7 + 5x = -9 + -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. 7 + 5x + 3x = -9 + -3x + 3x Combine like terms: 5x + 3x = 8x 7 + 8x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 8x = -9 + 0 7 + 8x = -9 Add '-7' to each side of the equation. 7 + -7 + 8x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -9 + -7 8x = -9 + -7 Combine like terms: -9 + -7 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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