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Simplifying 7(3x + 4) + -8(2x + -7) = 5x + 84 Reorder the terms: 7(4 + 3x) + -8(2x + -7) = 5x + 84 (4 * 7 + 3x * 7) + -8(2x + -7) = 5x + 84 (28 + 21x) + -8(2x + -7) = 5x + 84 Reorder the terms: 28 + 21x + -8(-7 + 2x) = 5x + 84 28 + 21x + (-7 * -8 + 2x * -8) = 5x + 84 28 + 21x + (56 + -16x) = 5x + 84 Reorder the terms: 28 + 56 + 21x + -16x = 5x + 84 Combine like terms: 28 + 56 = 84 84 + 21x + -16x = 5x + 84 Combine like terms: 21x + -16x = 5x 84 + 5x = 5x + 84 Reorder the terms: 84 + 5x = 84 + 5x Add '-84' to each side of the equation. 84 + -84 + 5x = 84 + -84 + 5x Combine like terms: 84 + -84 = 0 0 + 5x = 84 + -84 + 5x 5x = 84 + -84 + 5x Combine like terms: 84 + -84 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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