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Simplifying -7(x + 4) + 5 = -2(x + -1) Reorder the terms: -7(4 + x) + 5 = -2(x + -1) (4 * -7 + x * -7) + 5 = -2(x + -1) (-28 + -7x) + 5 = -2(x + -1) Reorder the terms: -28 + 5 + -7x = -2(x + -1) Combine like terms: -28 + 5 = -23 -23 + -7x = -2(x + -1) Reorder the terms: -23 + -7x = -2(-1 + x) -23 + -7x = (-1 * -2 + x * -2) -23 + -7x = (2 + -2x) Solving -23 + -7x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -23 + -7x + 2x = 2 + -2x + 2x Combine like terms: -7x + 2x = -5x -23 + -5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + -5x = 2 + 0 -23 + -5x = 2 Add '23' to each side of the equation. -23 + 23 + -5x = 2 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = 2 + 23 -5x = 2 + 23 Combine like terms: 2 + 23 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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