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Simplifying 5x + -2(7x + 1) = 2x + -3(-2 + -6x) Reorder the terms: 5x + -2(1 + 7x) = 2x + -3(-2 + -6x) 5x + (1 * -2 + 7x * -2) = 2x + -3(-2 + -6x) 5x + (-2 + -14x) = 2x + -3(-2 + -6x) Reorder the terms: -2 + 5x + -14x = 2x + -3(-2 + -6x) Combine like terms: 5x + -14x = -9x -2 + -9x = 2x + -3(-2 + -6x) -2 + -9x = 2x + (-2 * -3 + -6x * -3) -2 + -9x = 2x + (6 + 18x) Reorder the terms: -2 + -9x = 6 + 2x + 18x Combine like terms: 2x + 18x = 20x -2 + -9x = 6 + 20x Solving -2 + -9x = 6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -2 + -9x + -20x = 6 + 20x + -20x Combine like terms: -9x + -20x = -29x -2 + -29x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + -29x = 6 + 0 -2 + -29x = 6 Add '2' to each side of the equation. -2 + 2 + -29x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -29x = 6 + 2 -29x = 6 + 2 Combine like terms: 6 + 2 = 8 -29x = 8 Divide each side by '-29'. x = -0.275862069 Simplifying x = -0.275862069
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