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Simplifying 7(6x + -5) + 7 = 42x + -28 Reorder the terms: 7(-5 + 6x) + 7 = 42x + -28 (-5 * 7 + 6x * 7) + 7 = 42x + -28 (-35 + 42x) + 7 = 42x + -28 Reorder the terms: -35 + 7 + 42x = 42x + -28 Combine like terms: -35 + 7 = -28 -28 + 42x = 42x + -28 Reorder the terms: -28 + 42x = -28 + 42x Add '28' to each side of the equation. -28 + 28 + 42x = -28 + 28 + 42x Combine like terms: -28 + 28 = 0 0 + 42x = -28 + 28 + 42x 42x = -28 + 28 + 42x Combine like terms: -28 + 28 = 0 42x = 0 + 42x 42x = 42x Add '-42x' to each side of the equation. 42x + -42x = 42x + -42x Combine like terms: 42x + -42x = 0 0 = 42x + -42x Combine like terms: 42x + -42x = 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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