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