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Simplifying -4(x + 7) + -1(3x + 5) = -5 Reorder the terms: -4(7 + x) + -1(3x + 5) = -5 (7 * -4 + x * -4) + -1(3x + 5) = -5 (-28 + -4x) + -1(3x + 5) = -5 Reorder the terms: -28 + -4x + -1(5 + 3x) = -5 -28 + -4x + (5 * -1 + 3x * -1) = -5 -28 + -4x + (-5 + -3x) = -5 Reorder the terms: -28 + -5 + -4x + -3x = -5 Combine like terms: -28 + -5 = -33 -33 + -4x + -3x = -5 Combine like terms: -4x + -3x = -7x -33 + -7x = -5 Solving -33 + -7x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -7x = -5 + 33 Combine like terms: -33 + 33 = 0 0 + -7x = -5 + 33 -7x = -5 + 33 Combine like terms: -5 + 33 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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