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Simplifying -7(x + 2) = -3(x + -5) Reorder the terms: -7(2 + x) = -3(x + -5) (2 * -7 + x * -7) = -3(x + -5) (-14 + -7x) = -3(x + -5) Reorder the terms: -14 + -7x = -3(-5 + x) -14 + -7x = (-5 * -3 + x * -3) -14 + -7x = (15 + -3x) Solving -14 + -7x = 15 + -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. -14 + -7x + 3x = 15 + -3x + 3x Combine like terms: -7x + 3x = -4x -14 + -4x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -4x = 15 + 0 -14 + -4x = 15 Add '14' to each side of the equation. -14 + 14 + -4x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 15 + 14 -4x = 15 + 14 Combine like terms: 15 + 14 = 29 -4x = 29 Divide each side by '-4'. x = -7.25 Simplifying x = -7.25
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