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Simplifying 2(8x + 3) + 1 = 7(2x + 1) + 2x Reorder the terms: 2(3 + 8x) + 1 = 7(2x + 1) + 2x (3 * 2 + 8x * 2) + 1 = 7(2x + 1) + 2x (6 + 16x) + 1 = 7(2x + 1) + 2x Reorder the terms: 6 + 1 + 16x = 7(2x + 1) + 2x Combine like terms: 6 + 1 = 7 7 + 16x = 7(2x + 1) + 2x Reorder the terms: 7 + 16x = 7(1 + 2x) + 2x 7 + 16x = (1 * 7 + 2x * 7) + 2x 7 + 16x = (7 + 14x) + 2x Combine like terms: 14x + 2x = 16x 7 + 16x = 7 + 16x Add '-7' to each side of the equation. 7 + -7 + 16x = 7 + -7 + 16x Combine like terms: 7 + -7 = 0 0 + 16x = 7 + -7 + 16x 16x = 7 + -7 + 16x Combine like terms: 7 + -7 = 0 16x = 0 + 16x 16x = 16x Add '-16x' to each side of the equation. 16x + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 16x + -16x Combine like terms: 16x + -16x = 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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