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Simplifying 2 + -3(x + -5) = -7(x + 1) Reorder the terms: 2 + -3(-5 + x) = -7(x + 1) 2 + (-5 * -3 + x * -3) = -7(x + 1) 2 + (15 + -3x) = -7(x + 1) Combine like terms: 2 + 15 = 17 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 = 4x 17 + 4x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 17 + 4x = -7 + 0 17 + 4x = -7 Add '-17' to each side of the equation. 17 + -17 + 4x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -7 + -17 4x = -7 + -17 Combine like terms: -7 + -17 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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