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Simplifying 7x + -3(2 + -5x) = 40 + -1x 7x + (2 * -3 + -5x * -3) = 40 + -1x 7x + (-6 + 15x) = 40 + -1x Reorder the terms: -6 + 7x + 15x = 40 + -1x Combine like terms: 7x + 15x = 22x -6 + 22x = 40 + -1x Solving -6 + 22x = 40 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 22x + x = 40 + -1x + x Combine like terms: 22x + x = 23x -6 + 23x = 40 + -1x + x Combine like terms: -1x + x = 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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