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