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Simplifying 4x + -2 + (5x + -1) = 3(7 + -1x) Reorder the terms: 4x + -2 + (-1 + 5x) = 3(7 + -1x) Remove parenthesis around (-1 + 5x) 4x + -2 + -1 + 5x = 3(7 + -1x) Reorder the terms: -2 + -1 + 4x + 5x = 3(7 + -1x) Combine like terms: -2 + -1 = -3 -3 + 4x + 5x = 3(7 + -1x) Combine like terms: 4x + 5x = 9x -3 + 9x = 3(7 + -1x) -3 + 9x = (7 * 3 + -1x * 3) -3 + 9x = (21 + -3x) Solving -3 + 9x = 21 + -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. -3 + 9x + 3x = 21 + -3x + 3x Combine like terms: 9x + 3x = 12x -3 + 12x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 12x = 21 + 0 -3 + 12x = 21 Add '3' to each side of the equation. -3 + 3 + 12x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 21 + 3 12x = 21 + 3 Combine like terms: 21 + 3 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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