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Simplifying 7(x + 5) = 7(-5 + -1x) + -7x Reorder the terms: 7(5 + x) = 7(-5 + -1x) + -7x (5 * 7 + x * 7) = 7(-5 + -1x) + -7x (35 + 7x) = 7(-5 + -1x) + -7x 35 + 7x = (-5 * 7 + -1x * 7) + -7x 35 + 7x = (-35 + -7x) + -7x Combine like terms: -7x + -7x = -14x 35 + 7x = -35 + -14x Solving 35 + 7x = -35 + -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. 35 + 7x + 14x = -35 + -14x + 14x Combine like terms: 7x + 14x = 21x 35 + 21x = -35 + -14x + 14x Combine like terms: -14x + 14x = 0 35 + 21x = -35 + 0 35 + 21x = -35 Add '-35' to each side of the equation. 35 + -35 + 21x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 21x = -35 + -35 21x = -35 + -35 Combine like terms: -35 + -35 = -70 21x = -70 Divide each side by '21'. x = -3.333333333 Simplifying x = -3.333333333
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