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Simplifying -7x + -7(x + -6) = 7(-3x + -8) Reorder the terms: -7x + -7(-6 + x) = 7(-3x + -8) -7x + (-6 * -7 + x * -7) = 7(-3x + -8) -7x + (42 + -7x) = 7(-3x + -8) Reorder the terms: 42 + -7x + -7x = 7(-3x + -8) Combine like terms: -7x + -7x = -14x 42 + -14x = 7(-3x + -8) Reorder the terms: 42 + -14x = 7(-8 + -3x) 42 + -14x = (-8 * 7 + -3x * 7) 42 + -14x = (-56 + -21x) Solving 42 + -14x = -56 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 42 + -14x + 21x = -56 + -21x + 21x Combine like terms: -14x + 21x = 7x 42 + 7x = -56 + -21x + 21x Combine like terms: -21x + 21x = 0 42 + 7x = -56 + 0 42 + 7x = -56 Add '-42' to each side of the equation. 42 + -42 + 7x = -56 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = -56 + -42 7x = -56 + -42 Combine like terms: -56 + -42 = -98 7x = -98 Divide each side by '7'. x = -14 Simplifying x = -14
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