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Simplifying (7x + -9x + -4) + -1(3x + 1) = 4x + 14 Reorder the terms: (-4 + 7x + -9x) + -1(3x + 1) = 4x + 14 Combine like terms: 7x + -9x = -2x (-4 + -2x) + -1(3x + 1) = 4x + 14 Remove parenthesis around (-4 + -2x) -4 + -2x + -1(3x + 1) = 4x + 14 Reorder the terms: -4 + -2x + -1(1 + 3x) = 4x + 14 -4 + -2x + (1 * -1 + 3x * -1) = 4x + 14 -4 + -2x + (-1 + -3x) = 4x + 14 Reorder the terms: -4 + -1 + -2x + -3x = 4x + 14 Combine like terms: -4 + -1 = -5 -5 + -2x + -3x = 4x + 14 Combine like terms: -2x + -3x = -5x -5 + -5x = 4x + 14 Reorder the terms: -5 + -5x = 14 + 4x Solving -5 + -5x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -5x + -4x = 14 + 4x + -4x Combine like terms: -5x + -4x = -9x -5 + -9x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -9x = 14 + 0 -5 + -9x = 14 Add '5' to each side of the equation. -5 + 5 + -9x = 14 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 14 + 5 -9x = 14 + 5 Combine like terms: 14 + 5 = 19 -9x = 19 Divide each side by '-9'. x = -2.111111111 Simplifying x = -2.111111111
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