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Simplifying 2(4x + 3) + 74 = 10x + 2 + -2x + 78 Reorder the terms: 2(3 + 4x) + 74 = 10x + 2 + -2x + 78 (3 * 2 + 4x * 2) + 74 = 10x + 2 + -2x + 78 (6 + 8x) + 74 = 10x + 2 + -2x + 78 Reorder the terms: 6 + 74 + 8x = 10x + 2 + -2x + 78 Combine like terms: 6 + 74 = 80 80 + 8x = 10x + 2 + -2x + 78 Reorder the terms: 80 + 8x = 2 + 78 + 10x + -2x Combine like terms: 2 + 78 = 80 80 + 8x = 80 + 10x + -2x Combine like terms: 10x + -2x = 8x 80 + 8x = 80 + 8x Add '-80' to each side of the equation. 80 + -80 + 8x = 80 + -80 + 8x Combine like terms: 80 + -80 = 0 0 + 8x = 80 + -80 + 8x 8x = 80 + -80 + 8x Combine like terms: 80 + -80 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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