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Simplifying 7(2x + 1) + -2x = 3(4x + 1) + 4 Reorder the terms: 7(1 + 2x) + -2x = 3(4x + 1) + 4 (1 * 7 + 2x * 7) + -2x = 3(4x + 1) + 4 (7 + 14x) + -2x = 3(4x + 1) + 4 Combine like terms: 14x + -2x = 12x 7 + 12x = 3(4x + 1) + 4 Reorder the terms: 7 + 12x = 3(1 + 4x) + 4 7 + 12x = (1 * 3 + 4x * 3) + 4 7 + 12x = (3 + 12x) + 4 Reorder the terms: 7 + 12x = 3 + 4 + 12x Combine like terms: 3 + 4 = 7 7 + 12x = 7 + 12x Add '-7' to each side of the equation. 7 + -7 + 12x = 7 + -7 + 12x Combine like terms: 7 + -7 = 0 0 + 12x = 7 + -7 + 12x 12x = 7 + -7 + 12x Combine like terms: 7 + -7 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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