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Simplifying (7x + -4) + -1(5x + 2) = (10x + 6) + -1(7x + -4) Reorder the terms: (-4 + 7x) + -1(5x + 2) = (10x + 6) + -1(7x + -4) Remove parenthesis around (-4 + 7x) -4 + 7x + -1(5x + 2) = (10x + 6) + -1(7x + -4) Reorder the terms: -4 + 7x + -1(2 + 5x) = (10x + 6) + -1(7x + -4) -4 + 7x + (2 * -1 + 5x * -1) = (10x + 6) + -1(7x + -4) -4 + 7x + (-2 + -5x) = (10x + 6) + -1(7x + -4) Reorder the terms: -4 + -2 + 7x + -5x = (10x + 6) + -1(7x + -4) Combine like terms: -4 + -2 = -6 -6 + 7x + -5x = (10x + 6) + -1(7x + -4) Combine like terms: 7x + -5x = 2x -6 + 2x = (10x + 6) + -1(7x + -4) Reorder the terms: -6 + 2x = (6 + 10x) + -1(7x + -4) Remove parenthesis around (6 + 10x) -6 + 2x = 6 + 10x + -1(7x + -4) Reorder the terms: -6 + 2x = 6 + 10x + -1(-4 + 7x) -6 + 2x = 6 + 10x + (-4 * -1 + 7x * -1) -6 + 2x = 6 + 10x + (4 + -7x) Reorder the terms: -6 + 2x = 6 + 4 + 10x + -7x Combine like terms: 6 + 4 = 10 -6 + 2x = 10 + 10x + -7x Combine like terms: 10x + -7x = 3x -6 + 2x = 10 + 3x Solving -6 + 2x = 10 + 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. -6 + 2x + -3x = 10 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = 10 + 0 -6 + -1x = 10 Add '6' to each side of the equation. -6 + 6 + -1x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 10 + 6 -1x = 10 + 6 Combine like terms: 10 + 6 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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