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Simplifying 3(x + -5) + -7(x + 4) = 1 Reorder the terms: 3(-5 + x) + -7(x + 4) = 1 (-5 * 3 + x * 3) + -7(x + 4) = 1 (-15 + 3x) + -7(x + 4) = 1 Reorder the terms: -15 + 3x + -7(4 + x) = 1 -15 + 3x + (4 * -7 + x * -7) = 1 -15 + 3x + (-28 + -7x) = 1 Reorder the terms: -15 + -28 + 3x + -7x = 1 Combine like terms: -15 + -28 = -43 -43 + 3x + -7x = 1 Combine like terms: 3x + -7x = -4x -43 + -4x = 1 Solving -43 + -4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -4x = 1 + 43 Combine like terms: -43 + 43 = 0 0 + -4x = 1 + 43 -4x = 1 + 43 Combine like terms: 1 + 43 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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