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Simplifying 7(4x + 7) = 7(-6x + -5) Reorder the terms: 7(7 + 4x) = 7(-6x + -5) (7 * 7 + 4x * 7) = 7(-6x + -5) (49 + 28x) = 7(-6x + -5) Reorder the terms: 49 + 28x = 7(-5 + -6x) 49 + 28x = (-5 * 7 + -6x * 7) 49 + 28x = (-35 + -42x) Solving 49 + 28x = -35 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 49 + 28x + 42x = -35 + -42x + 42x Combine like terms: 28x + 42x = 70x 49 + 70x = -35 + -42x + 42x Combine like terms: -42x + 42x = 0 49 + 70x = -35 + 0 49 + 70x = -35 Add '-49' to each side of the equation. 49 + -49 + 70x = -35 + -49 Combine like terms: 49 + -49 = 0 0 + 70x = -35 + -49 70x = -35 + -49 Combine like terms: -35 + -49 = -84 70x = -84 Divide each side by '70'. x = -1.2 Simplifying x = -1.2
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