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Simplifying 9x + -4(x + 5) + -1 = 7(x + -3) + -2x Reorder the terms: 9x + -4(5 + x) + -1 = 7(x + -3) + -2x 9x + (5 * -4 + x * -4) + -1 = 7(x + -3) + -2x 9x + (-20 + -4x) + -1 = 7(x + -3) + -2x Reorder the terms: -20 + -1 + 9x + -4x = 7(x + -3) + -2x Combine like terms: -20 + -1 = -21 -21 + 9x + -4x = 7(x + -3) + -2x Combine like terms: 9x + -4x = 5x -21 + 5x = 7(x + -3) + -2x Reorder the terms: -21 + 5x = 7(-3 + x) + -2x -21 + 5x = (-3 * 7 + x * 7) + -2x -21 + 5x = (-21 + 7x) + -2x Combine like terms: 7x + -2x = 5x -21 + 5x = -21 + 5x Add '21' to each side of the equation. -21 + 21 + 5x = -21 + 21 + 5x Combine like terms: -21 + 21 = 0 0 + 5x = -21 + 21 + 5x 5x = -21 + 21 + 5x Combine like terms: -21 + 21 = 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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