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Simplifying 3x + -17 = -7(x + 1) Reorder the terms: -17 + 3x = -7(x + 1) Reorder the terms: -17 + 3x = -7(1 + x) -17 + 3x = (1 * -7 + x * -7) -17 + 3x = (-7 + -7x) Solving -17 + 3x = -7 + -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. -17 + 3x + 7x = -7 + -7x + 7x Combine like terms: 3x + 7x = 10x -17 + 10x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 10x = -7 + 0 -17 + 10x = -7 Add '17' to each side of the equation. -17 + 17 + 10x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = -7 + 17 10x = -7 + 17 Combine like terms: -7 + 17 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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