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Simplifying 7[x + 5] = -7[x + 5] Reorder the terms: 7[5 + x] = -7[x + 5] [5 * 7 + x * 7] = -7[x + 5] [35 + 7x] = -7[x + 5] Reorder the terms: 35 + 7x = -7[5 + x] 35 + 7x = [5 * -7 + x * -7] 35 + 7x = [-35 + -7x] Solving 35 + 7x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 35 + 7x + 7x = -35 + -7x + 7x Combine like terms: 7x + 7x = 14x 35 + 14x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 14x = -35 + 0 35 + 14x = -35 Add '-35' to each side of the equation. 35 + -35 + 14x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = -35 + -35 14x = -35 + -35 Combine like terms: -35 + -35 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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