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Simplifying 5x + -1(-1x + 2) = -3(7x + 2) + 8x Reorder the terms: 5x + -1(2 + -1x) = -3(7x + 2) + 8x 5x + (2 * -1 + -1x * -1) = -3(7x + 2) + 8x 5x + (-2 + 1x) = -3(7x + 2) + 8x Reorder the terms: -2 + 5x + 1x = -3(7x + 2) + 8x Combine like terms: 5x + 1x = 6x -2 + 6x = -3(7x + 2) + 8x Reorder the terms: -2 + 6x = -3(2 + 7x) + 8x -2 + 6x = (2 * -3 + 7x * -3) + 8x -2 + 6x = (-6 + -21x) + 8x Combine like terms: -21x + 8x = -13x -2 + 6x = -6 + -13x Solving -2 + 6x = -6 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -2 + 6x + 13x = -6 + -13x + 13x Combine like terms: 6x + 13x = 19x -2 + 19x = -6 + -13x + 13x Combine like terms: -13x + 13x = 0 -2 + 19x = -6 + 0 -2 + 19x = -6 Add '2' to each side of the equation. -2 + 2 + 19x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 19x = -6 + 2 19x = -6 + 2 Combine like terms: -6 + 2 = -4 19x = -4 Divide each side by '19'. x = -0.2105263158 Simplifying x = -0.2105263158
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