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Simplifying 7(x + -1) = 4(x + 2) Reorder the terms: 7(-1 + x) = 4(x + 2) (-1 * 7 + x * 7) = 4(x + 2) (-7 + 7x) = 4(x + 2) Reorder the terms: -7 + 7x = 4(2 + x) -7 + 7x = (2 * 4 + x * 4) -7 + 7x = (8 + 4x) Solving -7 + 7x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 7x + -4x = 8 + 4x + -4x Combine like terms: 7x + -4x = 3x -7 + 3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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