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Simplifying 8(x + 7) + -5(x + 7) = 3x + 21 Reorder the terms: 8(7 + x) + -5(x + 7) = 3x + 21 (7 * 8 + x * 8) + -5(x + 7) = 3x + 21 (56 + 8x) + -5(x + 7) = 3x + 21 Reorder the terms: 56 + 8x + -5(7 + x) = 3x + 21 56 + 8x + (7 * -5 + x * -5) = 3x + 21 56 + 8x + (-35 + -5x) = 3x + 21 Reorder the terms: 56 + -35 + 8x + -5x = 3x + 21 Combine like terms: 56 + -35 = 21 21 + 8x + -5x = 3x + 21 Combine like terms: 8x + -5x = 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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