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Simplifying 7(x + -1) = 3(x + 3) Reorder the terms: 7(-1 + x) = 3(x + 3) (-1 * 7 + x * 7) = 3(x + 3) (-7 + 7x) = 3(x + 3) Reorder the terms: -7 + 7x = 3(3 + x) -7 + 7x = (3 * 3 + x * 3) -7 + 7x = (9 + 3x) Solving -7 + 7x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 7x + -3x = 9 + 3x + -3x Combine like terms: 7x + -3x = 4x -7 + 4x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 4x = 9 + 0 -7 + 4x = 9 Add '7' to each side of the equation. -7 + 7 + 4x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 9 + 7 4x = 9 + 7 Combine like terms: 9 + 7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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