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Simplifying 4(3x + -4) = 5(7x + 2) Reorder the terms: 4(-4 + 3x) = 5(7x + 2) (-4 * 4 + 3x * 4) = 5(7x + 2) (-16 + 12x) = 5(7x + 2) Reorder the terms: -16 + 12x = 5(2 + 7x) -16 + 12x = (2 * 5 + 7x * 5) -16 + 12x = (10 + 35x) Solving -16 + 12x = 10 + 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. -16 + 12x + -35x = 10 + 35x + -35x Combine like terms: 12x + -35x = -23x -16 + -23x = 10 + 35x + -35x Combine like terms: 35x + -35x = 0 -16 + -23x = 10 + 0 -16 + -23x = 10 Add '16' to each side of the equation. -16 + 16 + -23x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -23x = 10 + 16 -23x = 10 + 16 Combine like terms: 10 + 16 = 26 -23x = 26 Divide each side by '-23'. x = -1.130434783 Simplifying x = -1.130434783
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