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Simplifying 7(x + -6) + 1 = 7x + -41 Reorder the terms: 7(-6 + x) + 1 = 7x + -41 (-6 * 7 + x * 7) + 1 = 7x + -41 (-42 + 7x) + 1 = 7x + -41 Reorder the terms: -42 + 1 + 7x = 7x + -41 Combine like terms: -42 + 1 = -41 -41 + 7x = 7x + -41 Reorder the terms: -41 + 7x = -41 + 7x Add '41' to each side of the equation. -41 + 41 + 7x = -41 + 41 + 7x Combine like terms: -41 + 41 = 0 0 + 7x = -41 + 41 + 7x 7x = -41 + 41 + 7x Combine like terms: -41 + 41 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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