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Simplifying 4 = 7(2x + 1) + -5x + -3(3x + 1) Reorder the terms: 4 = 7(1 + 2x) + -5x + -3(3x + 1) 4 = (1 * 7 + 2x * 7) + -5x + -3(3x + 1) 4 = (7 + 14x) + -5x + -3(3x + 1) Reorder the terms: 4 = 7 + 14x + -5x + -3(1 + 3x) 4 = 7 + 14x + -5x + (1 * -3 + 3x * -3) 4 = 7 + 14x + -5x + (-3 + -9x) Reorder the terms: 4 = 7 + -3 + 14x + -5x + -9x Combine like terms: 7 + -3 = 4 4 = 4 + 14x + -5x + -9x Combine like terms: 14x + -5x = 9x 4 = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 4 = 4 + 0 4 = 4 Add '-4' to each side of the equation. 4 + -4 = 4 + -4 Combine like terms: 4 + -4 = 0 0 = 4 + -4 Combine like terms: 4 + -4 = 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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