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Simplifying (3x + 5x + -2) + -1(7x + -5x + -4) = 0 Reorder the terms: (-2 + 3x + 5x) + -1(7x + -5x + -4) = 0 Combine like terms: 3x + 5x = 8x (-2 + 8x) + -1(7x + -5x + -4) = 0 Remove parenthesis around (-2 + 8x) -2 + 8x + -1(7x + -5x + -4) = 0 Reorder the terms: -2 + 8x + -1(-4 + 7x + -5x) = 0 Combine like terms: 7x + -5x = 2x -2 + 8x + -1(-4 + 2x) = 0 -2 + 8x + (-4 * -1 + 2x * -1) = 0 -2 + 8x + (4 + -2x) = 0 Reorder the terms: -2 + 4 + 8x + -2x = 0 Combine like terms: -2 + 4 = 2 2 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x 2 + 6x = 0 Solving 2 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 0 + -2 6x = 0 + -2 Combine like terms: 0 + -2 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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