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Simplifying 8x + -2 = -7x + -3(5 + -4x) Reorder the terms: -2 + 8x = -7x + -3(5 + -4x) -2 + 8x = -7x + (5 * -3 + -4x * -3) -2 + 8x = -7x + (-15 + 12x) Reorder the terms: -2 + 8x = -15 + -7x + 12x Combine like terms: -7x + 12x = 5x -2 + 8x = -15 + 5x Solving -2 + 8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x -2 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 3x = -15 + 0 -2 + 3x = -15 Add '2' to each side of the equation. -2 + 2 + 3x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -15 + 2 3x = -15 + 2 Combine like terms: -15 + 2 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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