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Simplifying -3(x + 5) = -7x + 17 Reorder the terms: -3(5 + x) = -7x + 17 (5 * -3 + x * -3) = -7x + 17 (-15 + -3x) = -7x + 17 Reorder the terms: -15 + -3x = 17 + -7x Solving -15 + -3x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + -3x + 7x = 17 + -7x + 7x Combine like terms: -3x + 7x = 4x -15 + 4x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 4x = 17 + 0 -15 + 4x = 17 Add '15' to each side of the equation. -15 + 15 + 4x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 17 + 15 4x = 17 + 15 Combine like terms: 17 + 15 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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