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Simplifying 7(2x + 6) = -14x + 42 Reorder the terms: 7(6 + 2x) = -14x + 42 (6 * 7 + 2x * 7) = -14x + 42 (42 + 14x) = -14x + 42 Reorder the terms: 42 + 14x = 42 + -14x Add '-42' to each side of the equation. 42 + -42 + 14x = 42 + -42 + -14x Combine like terms: 42 + -42 = 0 0 + 14x = 42 + -42 + -14x 14x = 42 + -42 + -14x Combine like terms: 42 + -42 = 0 14x = 0 + -14x 14x = -14x Solving 14x = -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. 14x + 14x = -14x + 14x Combine like terms: 14x + 14x = 28x 28x = -14x + 14x Combine like terms: -14x + 14x = 0 28x = 0 Divide each side by '28'. x = 0 Simplifying x = 0
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