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Simplifying -1(3x + 1) + -1(4x + -7) = (3x + 2) Reorder the terms: -1(1 + 3x) + -1(4x + -7) = (3x + 2) (1 * -1 + 3x * -1) + -1(4x + -7) = (3x + 2) (-1 + -3x) + -1(4x + -7) = (3x + 2) Reorder the terms: -1 + -3x + -1(-7 + 4x) = (3x + 2) -1 + -3x + (-7 * -1 + 4x * -1) = (3x + 2) -1 + -3x + (7 + -4x) = (3x + 2) Reorder the terms: -1 + 7 + -3x + -4x = (3x + 2) Combine like terms: -1 + 7 = 6 6 + -3x + -4x = (3x + 2) Combine like terms: -3x + -4x = -7x 6 + -7x = (3x + 2) Reorder the terms: 6 + -7x = (2 + 3x) Remove parenthesis around (2 + 3x) 6 + -7x = 2 + 3x Solving 6 + -7x = 2 + 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 + -7x + -3x = 2 + 3x + -3x Combine like terms: -7x + -3x = -10x 6 + -10x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -10x = 2 + 0 6 + -10x = 2 Add '-6' to each side of the equation. 6 + -6 + -10x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 2 + -6 -10x = 2 + -6 Combine like terms: 2 + -6 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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