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Simplifying (5x + 4) + -1(3x + 1) = (4x + 2) + -1(3x + -7) Reorder the terms: (4 + 5x) + -1(3x + 1) = (4x + 2) + -1(3x + -7) Remove parenthesis around (4 + 5x) 4 + 5x + -1(3x + 1) = (4x + 2) + -1(3x + -7) Reorder the terms: 4 + 5x + -1(1 + 3x) = (4x + 2) + -1(3x + -7) 4 + 5x + (1 * -1 + 3x * -1) = (4x + 2) + -1(3x + -7) 4 + 5x + (-1 + -3x) = (4x + 2) + -1(3x + -7) Reorder the terms: 4 + -1 + 5x + -3x = (4x + 2) + -1(3x + -7) Combine like terms: 4 + -1 = 3 3 + 5x + -3x = (4x + 2) + -1(3x + -7) Combine like terms: 5x + -3x = 2x 3 + 2x = (4x + 2) + -1(3x + -7) Reorder the terms: 3 + 2x = (2 + 4x) + -1(3x + -7) Remove parenthesis around (2 + 4x) 3 + 2x = 2 + 4x + -1(3x + -7) Reorder the terms: 3 + 2x = 2 + 4x + -1(-7 + 3x) 3 + 2x = 2 + 4x + (-7 * -1 + 3x * -1) 3 + 2x = 2 + 4x + (7 + -3x) Reorder the terms: 3 + 2x = 2 + 7 + 4x + -3x Combine like terms: 2 + 7 = 9 3 + 2x = 9 + 4x + -3x Combine like terms: 4x + -3x = 1x 3 + 2x = 9 + 1x Solving 3 + 2x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = 9 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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