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Simplifying -2(-4x + 1) + 3x + -5 = 15 Reorder the terms: -2(1 + -4x) + 3x + -5 = 15 (1 * -2 + -4x * -2) + 3x + -5 = 15 (-2 + 8x) + 3x + -5 = 15 Reorder the terms: -2 + -5 + 8x + 3x = 15 Combine like terms: -2 + -5 = -7 -7 + 8x + 3x = 15 Combine like terms: 8x + 3x = 11x -7 + 11x = 15 Solving -7 + 11x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 15 + 7 11x = 15 + 7 Combine like terms: 15 + 7 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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