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Simplifying -4(5x + -4) = 7(-2x + 6) Reorder the terms: -4(-4 + 5x) = 7(-2x + 6) (-4 * -4 + 5x * -4) = 7(-2x + 6) (16 + -20x) = 7(-2x + 6) Reorder the terms: 16 + -20x = 7(6 + -2x) 16 + -20x = (6 * 7 + -2x * 7) 16 + -20x = (42 + -14x) Solving 16 + -20x = 42 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 16 + -20x + 14x = 42 + -14x + 14x Combine like terms: -20x + 14x = -6x 16 + -6x = 42 + -14x + 14x Combine like terms: -14x + 14x = 0 16 + -6x = 42 + 0 16 + -6x = 42 Add '-16' to each side of the equation. 16 + -16 + -6x = 42 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 42 + -16 -6x = 42 + -16 Combine like terms: 42 + -16 = 26 -6x = 26 Divide each side by '-6'. x = -4.333333333 Simplifying x = -4.333333333
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