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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 Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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