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Simplifying 7 + -5(x + -6) + 4 = 3 + -2(x + -5) + -3x + 28 Reorder the terms: 7 + -5(-6 + x) + 4 = 3 + -2(x + -5) + -3x + 28 7 + (-6 * -5 + x * -5) + 4 = 3 + -2(x + -5) + -3x + 28 7 + (30 + -5x) + 4 = 3 + -2(x + -5) + -3x + 28 Reorder the terms: 7 + 30 + 4 + -5x = 3 + -2(x + -5) + -3x + 28 Combine like terms: 7 + 30 = 37 37 + 4 + -5x = 3 + -2(x + -5) + -3x + 28 Combine like terms: 37 + 4 = 41 41 + -5x = 3 + -2(x + -5) + -3x + 28 Reorder the terms: 41 + -5x = 3 + -2(-5 + x) + -3x + 28 41 + -5x = 3 + (-5 * -2 + x * -2) + -3x + 28 41 + -5x = 3 + (10 + -2x) + -3x + 28 Reorder the terms: 41 + -5x = 3 + 10 + 28 + -2x + -3x Combine like terms: 3 + 10 = 13 41 + -5x = 13 + 28 + -2x + -3x Combine like terms: 13 + 28 = 41 41 + -5x = 41 + -2x + -3x Combine like terms: -2x + -3x = -5x 41 + -5x = 41 + -5x Add '-41' to each side of the equation. 41 + -41 + -5x = 41 + -41 + -5x Combine like terms: 41 + -41 = 0 0 + -5x = 41 + -41 + -5x -5x = 41 + -41 + -5x Combine like terms: 41 + -41 = 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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