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Simplifying -2(4x + -1) = 3(5x + -1) + 5 Reorder the terms: -2(-1 + 4x) = 3(5x + -1) + 5 (-1 * -2 + 4x * -2) = 3(5x + -1) + 5 (2 + -8x) = 3(5x + -1) + 5 Reorder the terms: 2 + -8x = 3(-1 + 5x) + 5 2 + -8x = (-1 * 3 + 5x * 3) + 5 2 + -8x = (-3 + 15x) + 5 Reorder the terms: 2 + -8x = -3 + 5 + 15x Combine like terms: -3 + 5 = 2 2 + -8x = 2 + 15x Add '-2' to each side of the equation. 2 + -2 + -8x = 2 + -2 + 15x Combine like terms: 2 + -2 = 0 0 + -8x = 2 + -2 + 15x -8x = 2 + -2 + 15x Combine like terms: 2 + -2 = 0 -8x = 0 + 15x -8x = 15x Solving -8x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8x + -15x = 15x + -15x Combine like terms: -8x + -15x = -23x -23x = 15x + -15x Combine like terms: 15x + -15x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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