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Simplifying 3x + -2(4 + -5x) = 5 + -3x 3x + (4 * -2 + -5x * -2) = 5 + -3x 3x + (-8 + 10x) = 5 + -3x Reorder the terms: -8 + 3x + 10x = 5 + -3x Combine like terms: 3x + 10x = 13x -8 + 13x = 5 + -3x Solving -8 + 13x = 5 + -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. -8 + 13x + 3x = 5 + -3x + 3x Combine like terms: 13x + 3x = 16x -8 + 16x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 16x = 5 + 0 -8 + 16x = 5 Add '8' to each side of the equation. -8 + 8 + 16x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 5 + 8 16x = 5 + 8 Combine like terms: 5 + 8 = 13 16x = 13 Divide each side by '16'. x = 0.8125 Simplifying x = 0.8125
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