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Simplifying 13(2x + -3) + -5(2x + -1x) = 5(-3 + 6x) Reorder the terms: 13(-3 + 2x) + -5(2x + -1x) = 5(-3 + 6x) (-3 * 13 + 2x * 13) + -5(2x + -1x) = 5(-3 + 6x) (-39 + 26x) + -5(2x + -1x) = 5(-3 + 6x) Combine like terms: 2x + -1x = 1x -39 + 26x + -5(1x) = 5(-3 + 6x) Remove parenthesis around (1x) -39 + 26x + -5 * 1x = 5(-3 + 6x) Multiply -5 * 1 -39 + 26x + -5x = 5(-3 + 6x) Combine like terms: 26x + -5x = 21x -39 + 21x = 5(-3 + 6x) -39 + 21x = (-3 * 5 + 6x * 5) -39 + 21x = (-15 + 30x) Solving -39 + 21x = -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. -39 + 21x + -30x = -15 + 30x + -30x Combine like terms: 21x + -30x = -9x -39 + -9x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 -39 + -9x = -15 + 0 -39 + -9x = -15 Add '39' to each side of the equation. -39 + 39 + -9x = -15 + 39 Combine like terms: -39 + 39 = 0 0 + -9x = -15 + 39 -9x = -15 + 39 Combine like terms: -15 + 39 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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