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Simplifying 3x + -5(x + 1) + (4x + -3) = 6 Reorder the terms: 3x + -5(1 + x) + (4x + -3) = 6 3x + (1 * -5 + x * -5) + (4x + -3) = 6 3x + (-5 + -5x) + (4x + -3) = 6 Reorder the terms: 3x + -5 + -5x + (-3 + 4x) = 6 Remove parenthesis around (-3 + 4x) 3x + -5 + -5x + -3 + 4x = 6 Reorder the terms: -5 + -3 + 3x + -5x + 4x = 6 Combine like terms: -5 + -3 = -8 -8 + 3x + -5x + 4x = 6 Combine like terms: 3x + -5x = -2x -8 + -2x + 4x = 6 Combine like terms: -2x + 4x = 2x -8 + 2x = 6 Solving -8 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 6 + 8 2x = 6 + 8 Combine like terms: 6 + 8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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