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Simplifying (5x + -2) + (2x + -1) + -1(3x + 4) = 0 Reorder the terms: (-2 + 5x) + (2x + -1) + -1(3x + 4) = 0 Remove parenthesis around (-2 + 5x) -2 + 5x + (2x + -1) + -1(3x + 4) = 0 Reorder the terms: -2 + 5x + (-1 + 2x) + -1(3x + 4) = 0 Remove parenthesis around (-1 + 2x) -2 + 5x + -1 + 2x + -1(3x + 4) = 0 Reorder the terms: -2 + 5x + -1 + 2x + -1(4 + 3x) = 0 -2 + 5x + -1 + 2x + (4 * -1 + 3x * -1) = 0 -2 + 5x + -1 + 2x + (-4 + -3x) = 0 Reorder the terms: -2 + -1 + -4 + 5x + 2x + -3x = 0 Combine like terms: -2 + -1 = -3 -3 + -4 + 5x + 2x + -3x = 0 Combine like terms: -3 + -4 = -7 -7 + 5x + 2x + -3x = 0 Combine like terms: 5x + 2x = 7x -7 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x -7 + 4x = 0 Solving -7 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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