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Simplifying 2(3x + -6) + -3(5 + 4) = 5(7x + -8) Reorder the terms: 2(-6 + 3x) + -3(5 + 4) = 5(7x + -8) (-6 * 2 + 3x * 2) + -3(5 + 4) = 5(7x + -8) (-12 + 6x) + -3(5 + 4) = 5(7x + -8) Combine like terms: 5 + 4 = 9 -12 + 6x + -3(9) = 5(7x + -8) Multiply -3 * 9 -12 + 6x + -27 = 5(7x + -8) Reorder the terms: -12 + -27 + 6x = 5(7x + -8) Combine like terms: -12 + -27 = -39 -39 + 6x = 5(7x + -8) Reorder the terms: -39 + 6x = 5(-8 + 7x) -39 + 6x = (-8 * 5 + 7x * 5) -39 + 6x = (-40 + 35x) Solving -39 + 6x = -40 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -39 + 6x + -35x = -40 + 35x + -35x Combine like terms: 6x + -35x = -29x -39 + -29x = -40 + 35x + -35x Combine like terms: 35x + -35x = 0 -39 + -29x = -40 + 0 -39 + -29x = -40 Add '39' to each side of the equation. -39 + 39 + -29x = -40 + 39 Combine like terms: -39 + 39 = 0 0 + -29x = -40 + 39 -29x = -40 + 39 Combine like terms: -40 + 39 = -1 -29x = -1 Divide each side by '-29'. x = 0.03448275862 Simplifying x = 0.03448275862
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