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Simplifying 2(3x + -4) = 5(7x + 6) Reorder the terms: 2(-4 + 3x) = 5(7x + 6) (-4 * 2 + 3x * 2) = 5(7x + 6) (-8 + 6x) = 5(7x + 6) Reorder the terms: -8 + 6x = 5(6 + 7x) -8 + 6x = (6 * 5 + 7x * 5) -8 + 6x = (30 + 35x) Solving -8 + 6x = 30 + 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. -8 + 6x + -35x = 30 + 35x + -35x Combine like terms: 6x + -35x = -29x -8 + -29x = 30 + 35x + -35x Combine like terms: 35x + -35x = 0 -8 + -29x = 30 + 0 -8 + -29x = 30 Add '8' to each side of the equation. -8 + 8 + -29x = 30 + 8 Combine like terms: -8 + 8 = 0 0 + -29x = 30 + 8 -29x = 30 + 8 Combine like terms: 30 + 8 = 38 -29x = 38 Divide each side by '-29'. x = -1.310344828 Simplifying x = -1.310344828
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