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Simplifying -7(x + 5) + -5 = -3(x + -8) Reorder the terms: -7(5 + x) + -5 = -3(x + -8) (5 * -7 + x * -7) + -5 = -3(x + -8) (-35 + -7x) + -5 = -3(x + -8) Reorder the terms: -35 + -5 + -7x = -3(x + -8) Combine like terms: -35 + -5 = -40 -40 + -7x = -3(x + -8) Reorder the terms: -40 + -7x = -3(-8 + x) -40 + -7x = (-8 * -3 + x * -3) -40 + -7x = (24 + -3x) Solving -40 + -7x = 24 + -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. -40 + -7x + 3x = 24 + -3x + 3x Combine like terms: -7x + 3x = -4x -40 + -4x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + -4x = 24 + 0 -40 + -4x = 24 Add '40' to each side of the equation. -40 + 40 + -4x = 24 + 40 Combine like terms: -40 + 40 = 0 0 + -4x = 24 + 40 -4x = 24 + 40 Combine like terms: 24 + 40 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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