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Simplifying 2(3x + -4) + -5(7x + -2) = 15 Reorder the terms: 2(-4 + 3x) + -5(7x + -2) = 15 (-4 * 2 + 3x * 2) + -5(7x + -2) = 15 (-8 + 6x) + -5(7x + -2) = 15 Reorder the terms: -8 + 6x + -5(-2 + 7x) = 15 -8 + 6x + (-2 * -5 + 7x * -5) = 15 -8 + 6x + (10 + -35x) = 15 Reorder the terms: -8 + 10 + 6x + -35x = 15 Combine like terms: -8 + 10 = 2 2 + 6x + -35x = 15 Combine like terms: 6x + -35x = -29x 2 + -29x = 15 Solving 2 + -29x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -29x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -29x = 15 + -2 -29x = 15 + -2 Combine like terms: 15 + -2 = 13 -29x = 13 Divide each side by '-29'. x = -0.4482758621 Simplifying x = -0.4482758621
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