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