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Simplifying 7(x + -1) = 21 + -3(x + 1) Reorder the terms: 7(-1 + x) = 21 + -3(x + 1) (-1 * 7 + x * 7) = 21 + -3(x + 1) (-7 + 7x) = 21 + -3(x + 1) Reorder the terms: -7 + 7x = 21 + -3(1 + x) -7 + 7x = 21 + (1 * -3 + x * -3) -7 + 7x = 21 + (-3 + -3x) Combine like terms: 21 + -3 = 18 -7 + 7x = 18 + -3x Solving -7 + 7x = 18 + -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 = 18 + -3x + 3x Combine like terms: 7x + 3x = 10x -7 + 10x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 10x = 18 + 0 -7 + 10x = 18 Add '7' to each side of the equation. -7 + 7 + 10x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 18 + 7 10x = 18 + 7 Combine like terms: 18 + 7 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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