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Simplifying -7x + -30 = -2(1 + 7x) Reorder the terms: -30 + -7x = -2(1 + 7x) -30 + -7x = (1 * -2 + 7x * -2) -30 + -7x = (-2 + -14x) Solving -30 + -7x = -2 + -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. -30 + -7x + 14x = -2 + -14x + 14x Combine like terms: -7x + 14x = 7x -30 + 7x = -2 + -14x + 14x Combine like terms: -14x + 14x = 0 -30 + 7x = -2 + 0 -30 + 7x = -2 Add '30' to each side of the equation. -30 + 30 + 7x = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = -2 + 30 7x = -2 + 30 Combine like terms: -2 + 30 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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