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Simplifying 5x + -3(2 + -5x) = 40 + -3x 5x + (2 * -3 + -5x * -3) = 40 + -3x 5x + (-6 + 15x) = 40 + -3x Reorder the terms: -6 + 5x + 15x = 40 + -3x Combine like terms: 5x + 15x = 20x -6 + 20x = 40 + -3x Solving -6 + 20x = 40 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 20x + 3x = 40 + -3x + 3x Combine like terms: 20x + 3x = 23x -6 + 23x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 23x = 40 + 0 -6 + 23x = 40 Add '6' to each side of the equation. -6 + 6 + 23x = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 23x = 40 + 6 23x = 40 + 6 Combine like terms: 40 + 6 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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