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Simplifying 3(7 + -1x) + -36 = 17x + -5(3 + 4x) (7 * 3 + -1x * 3) + -36 = 17x + -5(3 + 4x) (21 + -3x) + -36 = 17x + -5(3 + 4x) Reorder the terms: 21 + -36 + -3x = 17x + -5(3 + 4x) Combine like terms: 21 + -36 = -15 -15 + -3x = 17x + -5(3 + 4x) -15 + -3x = 17x + (3 * -5 + 4x * -5) -15 + -3x = 17x + (-15 + -20x) Reorder the terms: -15 + -3x = -15 + 17x + -20x Combine like terms: 17x + -20x = -3x -15 + -3x = -15 + -3x Add '15' to each side of the equation. -15 + 15 + -3x = -15 + 15 + -3x Combine like terms: -15 + 15 = 0 0 + -3x = -15 + 15 + -3x -3x = -15 + 15 + -3x Combine like terms: -15 + 15 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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