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Simplifying 5(x + -1) = 7(x + -1) + -4 Reorder the terms: 5(-1 + x) = 7(x + -1) + -4 (-1 * 5 + x * 5) = 7(x + -1) + -4 (-5 + 5x) = 7(x + -1) + -4 Reorder the terms: -5 + 5x = 7(-1 + x) + -4 -5 + 5x = (-1 * 7 + x * 7) + -4 -5 + 5x = (-7 + 7x) + -4 Reorder the terms: -5 + 5x = -7 + -4 + 7x Combine like terms: -7 + -4 = -11 -5 + 5x = -11 + 7x Solving -5 + 5x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 5x + -7x = -11 + 7x + -7x Combine like terms: 5x + -7x = -2x -5 + -2x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -2x = -11 + 0 -5 + -2x = -11 Add '5' to each side of the equation. -5 + 5 + -2x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -11 + 5 -2x = -11 + 5 Combine like terms: -11 + 5 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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