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Simplifying 4 + -5(x + 2) = 2(x + -1) + -7x + -4 Reorder the terms: 4 + -5(2 + x) = 2(x + -1) + -7x + -4 4 + (2 * -5 + x * -5) = 2(x + -1) + -7x + -4 4 + (-10 + -5x) = 2(x + -1) + -7x + -4 Combine like terms: 4 + -10 = -6 -6 + -5x = 2(x + -1) + -7x + -4 Reorder the terms: -6 + -5x = 2(-1 + x) + -7x + -4 -6 + -5x = (-1 * 2 + x * 2) + -7x + -4 -6 + -5x = (-2 + 2x) + -7x + -4 Reorder the terms: -6 + -5x = -2 + -4 + 2x + -7x Combine like terms: -2 + -4 = -6 -6 + -5x = -6 + 2x + -7x Combine like terms: 2x + -7x = -5x -6 + -5x = -6 + -5x Add '6' to each side of the equation. -6 + 6 + -5x = -6 + 6 + -5x Combine like terms: -6 + 6 = 0 0 + -5x = -6 + 6 + -5x -5x = -6 + 6 + -5x Combine like terms: -6 + 6 = 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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