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Simplifying 7(5x + 8) = 7(-6x + -3) Reorder the terms: 7(8 + 5x) = 7(-6x + -3) (8 * 7 + 5x * 7) = 7(-6x + -3) (56 + 35x) = 7(-6x + -3) Reorder the terms: 56 + 35x = 7(-3 + -6x) 56 + 35x = (-3 * 7 + -6x * 7) 56 + 35x = (-21 + -42x) Solving 56 + 35x = -21 + -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. 56 + 35x + 42x = -21 + -42x + 42x Combine like terms: 35x + 42x = 77x 56 + 77x = -21 + -42x + 42x Combine like terms: -42x + 42x = 0 56 + 77x = -21 + 0 56 + 77x = -21 Add '-56' to each side of the equation. 56 + -56 + 77x = -21 + -56 Combine like terms: 56 + -56 = 0 0 + 77x = -21 + -56 77x = -21 + -56 Combine like terms: -21 + -56 = -77 77x = -77 Divide each side by '77'. x = -1 Simplifying x = -1
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