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Simplifying 5x + (2x + -2) + -1(4x + -3) = 0 Reorder the terms: 5x + (-2 + 2x) + -1(4x + -3) = 0 Remove parenthesis around (-2 + 2x) 5x + -2 + 2x + -1(4x + -3) = 0 Reorder the terms: 5x + -2 + 2x + -1(-3 + 4x) = 0 5x + -2 + 2x + (-3 * -1 + 4x * -1) = 0 5x + -2 + 2x + (3 + -4x) = 0 Reorder the terms: -2 + 3 + 5x + 2x + -4x = 0 Combine like terms: -2 + 3 = 1 1 + 5x + 2x + -4x = 0 Combine like terms: 5x + 2x = 7x 1 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 1 + 3x = 0 Solving 1 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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