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Simplifying (7x + -3) + -1(4x + 3) = 6(x + 2) Reorder the terms: (-3 + 7x) + -1(4x + 3) = 6(x + 2) Remove parenthesis around (-3 + 7x) -3 + 7x + -1(4x + 3) = 6(x + 2) Reorder the terms: -3 + 7x + -1(3 + 4x) = 6(x + 2) -3 + 7x + (3 * -1 + 4x * -1) = 6(x + 2) -3 + 7x + (-3 + -4x) = 6(x + 2) Reorder the terms: -3 + -3 + 7x + -4x = 6(x + 2) Combine like terms: -3 + -3 = -6 -6 + 7x + -4x = 6(x + 2) Combine like terms: 7x + -4x = 3x -6 + 3x = 6(x + 2) Reorder the terms: -6 + 3x = 6(2 + x) -6 + 3x = (2 * 6 + x * 6) -6 + 3x = (12 + 6x) Solving -6 + 3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x -6 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -3x = 12 + 0 -6 + -3x = 12 Add '6' to each side of the equation. -6 + 6 + -3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 12 + 6 -3x = 12 + 6 Combine like terms: 12 + 6 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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