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Simplifying (7x + -3) + (3x + -8) = (10x + -1) + -1(2x + 4) Reorder the terms: (-3 + 7x) + (3x + -8) = (10x + -1) + -1(2x + 4) Remove parenthesis around (-3 + 7x) -3 + 7x + (3x + -8) = (10x + -1) + -1(2x + 4) Reorder the terms: -3 + 7x + (-8 + 3x) = (10x + -1) + -1(2x + 4) Remove parenthesis around (-8 + 3x) -3 + 7x + -8 + 3x = (10x + -1) + -1(2x + 4) Reorder the terms: -3 + -8 + 7x + 3x = (10x + -1) + -1(2x + 4) Combine like terms: -3 + -8 = -11 -11 + 7x + 3x = (10x + -1) + -1(2x + 4) Combine like terms: 7x + 3x = 10x -11 + 10x = (10x + -1) + -1(2x + 4) Reorder the terms: -11 + 10x = (-1 + 10x) + -1(2x + 4) Remove parenthesis around (-1 + 10x) -11 + 10x = -1 + 10x + -1(2x + 4) Reorder the terms: -11 + 10x = -1 + 10x + -1(4 + 2x) -11 + 10x = -1 + 10x + (4 * -1 + 2x * -1) -11 + 10x = -1 + 10x + (-4 + -2x) Reorder the terms: -11 + 10x = -1 + -4 + 10x + -2x Combine like terms: -1 + -4 = -5 -11 + 10x = -5 + 10x + -2x Combine like terms: 10x + -2x = 8x -11 + 10x = -5 + 8x Solving -11 + 10x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + 10x + -8x = -5 + 8x + -8x Combine like terms: 10x + -8x = 2x -11 + 2x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + 2x = -5 + 0 -11 + 2x = -5 Add '11' to each side of the equation. -11 + 11 + 2x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -5 + 11 2x = -5 + 11 Combine like terms: -5 + 11 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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