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Simplifying 7(x + 2) + -3 = 25 + -1(3x + 4) Reorder the terms: 7(2 + x) + -3 = 25 + -1(3x + 4) (2 * 7 + x * 7) + -3 = 25 + -1(3x + 4) (14 + 7x) + -3 = 25 + -1(3x + 4) Reorder the terms: 14 + -3 + 7x = 25 + -1(3x + 4) Combine like terms: 14 + -3 = 11 11 + 7x = 25 + -1(3x + 4) Reorder the terms: 11 + 7x = 25 + -1(4 + 3x) 11 + 7x = 25 + (4 * -1 + 3x * -1) 11 + 7x = 25 + (-4 + -3x) Combine like terms: 25 + -4 = 21 11 + 7x = 21 + -3x Solving 11 + 7x = 21 + -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. 11 + 7x + 3x = 21 + -3x + 3x Combine like terms: 7x + 3x = 10x 11 + 10x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 10x = 21 + 0 11 + 10x = 21 Add '-11' to each side of the equation. 11 + -11 + 10x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 21 + -11 10x = 21 + -11 Combine like terms: 21 + -11 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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