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Simplifying 7x + 42 = -7(x + -4) Reorder the terms: 42 + 7x = -7(x + -4) Reorder the terms: 42 + 7x = -7(-4 + x) 42 + 7x = (-4 * -7 + x * -7) 42 + 7x = (28 + -7x) Solving 42 + 7x = 28 + -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. 42 + 7x + 7x = 28 + -7x + 7x Combine like terms: 7x + 7x = 14x 42 + 14x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 14x = 28 + 0 42 + 14x = 28 Add '-42' to each side of the equation. 42 + -42 + 14x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = 28 + -42 14x = 28 + -42 Combine like terms: 28 + -42 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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