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Simplifying 3x + -1(5x + -7) + 4(3x + -1) = -8x + 2 Reorder the terms: 3x + -1(-7 + 5x) + 4(3x + -1) = -8x + 2 3x + (-7 * -1 + 5x * -1) + 4(3x + -1) = -8x + 2 3x + (7 + -5x) + 4(3x + -1) = -8x + 2 Reorder the terms: 3x + 7 + -5x + 4(-1 + 3x) = -8x + 2 3x + 7 + -5x + (-1 * 4 + 3x * 4) = -8x + 2 3x + 7 + -5x + (-4 + 12x) = -8x + 2 Reorder the terms: 7 + -4 + 3x + -5x + 12x = -8x + 2 Combine like terms: 7 + -4 = 3 3 + 3x + -5x + 12x = -8x + 2 Combine like terms: 3x + -5x = -2x 3 + -2x + 12x = -8x + 2 Combine like terms: -2x + 12x = 10x 3 + 10x = -8x + 2 Reorder the terms: 3 + 10x = 2 + -8x Solving 3 + 10x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + 10x + 8x = 2 + -8x + 8x Combine like terms: 10x + 8x = 18x 3 + 18x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 18x = 2 + 0 3 + 18x = 2 Add '-3' to each side of the equation. 3 + -3 + 18x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 18x = 2 + -3 18x = 2 + -3 Combine like terms: 2 + -3 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556
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