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Simplifying -7(x + 8) = -3(x + -5) Reorder the terms: -7(8 + x) = -3(x + -5) (8 * -7 + x * -7) = -3(x + -5) (-56 + -7x) = -3(x + -5) Reorder the terms: -56 + -7x = -3(-5 + x) -56 + -7x = (-5 * -3 + x * -3) -56 + -7x = (15 + -3x) Solving -56 + -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. -56 + -7x + 3x = 15 + -3x + 3x Combine like terms: -7x + 3x = -4x -56 + -4x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -56 + -4x = 15 + 0 -56 + -4x = 15 Add '56' to each side of the equation. -56 + 56 + -4x = 15 + 56 Combine like terms: -56 + 56 = 0 0 + -4x = 15 + 56 -4x = 15 + 56 Combine like terms: 15 + 56 = 71 -4x = 71 Divide each side by '-4'. x = -17.75 Simplifying x = -17.75
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