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Simplifying 6(x + 7) + -3(x + 7) = 3x + 21 Reorder the terms: 6(7 + x) + -3(x + 7) = 3x + 21 (7 * 6 + x * 6) + -3(x + 7) = 3x + 21 (42 + 6x) + -3(x + 7) = 3x + 21 Reorder the terms: 42 + 6x + -3(7 + x) = 3x + 21 42 + 6x + (7 * -3 + x * -3) = 3x + 21 42 + 6x + (-21 + -3x) = 3x + 21 Reorder the terms: 42 + -21 + 6x + -3x = 3x + 21 Combine like terms: 42 + -21 = 21 21 + 6x + -3x = 3x + 21 Combine like terms: 6x + -3x = 3x 21 + 3x = 3x + 21 Reorder the terms: 21 + 3x = 21 + 3x Add '-21' to each side of the equation. 21 + -21 + 3x = 21 + -21 + 3x Combine like terms: 21 + -21 = 0 0 + 3x = 21 + -21 + 3x 3x = 21 + -21 + 3x Combine like terms: 21 + -21 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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