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Simplifying 13(2x + -3) + -5(2 + -1x) = 5(3 + 6x) Reorder the terms: 13(-3 + 2x) + -5(2 + -1x) = 5(3 + 6x) (-3 * 13 + 2x * 13) + -5(2 + -1x) = 5(3 + 6x) (-39 + 26x) + -5(2 + -1x) = 5(3 + 6x) -39 + 26x + (2 * -5 + -1x * -5) = 5(3 + 6x) -39 + 26x + (-10 + 5x) = 5(3 + 6x) Reorder the terms: -39 + -10 + 26x + 5x = 5(3 + 6x) Combine like terms: -39 + -10 = -49 -49 + 26x + 5x = 5(3 + 6x) Combine like terms: 26x + 5x = 31x -49 + 31x = 5(3 + 6x) -49 + 31x = (3 * 5 + 6x * 5) -49 + 31x = (15 + 30x) Solving -49 + 31x = 15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -49 + 31x + -30x = 15 + 30x + -30x Combine like terms: 31x + -30x = 1x -49 + 1x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 -49 + 1x = 15 + 0 -49 + 1x = 15 Add '49' to each side of the equation. -49 + 49 + 1x = 15 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = 15 + 49 1x = 15 + 49 Combine like terms: 15 + 49 = 64 1x = 64 Divide each side by '1'. x = 64 Simplifying x = 64
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