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Simplifying 5(4x + 7) = 3(2x + -4) Reorder the terms: 5(7 + 4x) = 3(2x + -4) (7 * 5 + 4x * 5) = 3(2x + -4) (35 + 20x) = 3(2x + -4) Reorder the terms: 35 + 20x = 3(-4 + 2x) 35 + 20x = (-4 * 3 + 2x * 3) 35 + 20x = (-12 + 6x) Solving 35 + 20x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 20x + -6x = -12 + 6x + -6x Combine like terms: 20x + -6x = 14x 35 + 14x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 14x = -12 + 0 35 + 14x = -12 Add '-35' to each side of the equation. 35 + -35 + 14x = -12 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = -12 + -35 14x = -12 + -35 Combine like terms: -12 + -35 = -47 14x = -47 Divide each side by '14'. x = -3.357142857 Simplifying x = -3.357142857
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