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Simplifying 2(3x + -5) + -1 = 4x + 5 Reorder the terms: 2(-5 + 3x) + -1 = 4x + 5 (-5 * 2 + 3x * 2) + -1 = 4x + 5 (-10 + 6x) + -1 = 4x + 5 Reorder the terms: -10 + -1 + 6x = 4x + 5 Combine like terms: -10 + -1 = -11 -11 + 6x = 4x + 5 Reorder the terms: -11 + 6x = 5 + 4x Solving -11 + 6x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 6x + -4x = 5 + 4x + -4x Combine like terms: 6x + -4x = 2x -11 + 2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 2x = 5 + 0 -11 + 2x = 5 Add '11' to each side of the equation. -11 + 11 + 2x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 5 + 11 2x = 5 + 11 Combine like terms: 5 + 11 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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