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Simplifying -3(x + 7) + -1x + -2 = -4(x + 4) + -7 Reorder the terms: -3(7 + x) + -1x + -2 = -4(x + 4) + -7 (7 * -3 + x * -3) + -1x + -2 = -4(x + 4) + -7 (-21 + -3x) + -1x + -2 = -4(x + 4) + -7 Reorder the terms: -21 + -2 + -3x + -1x = -4(x + 4) + -7 Combine like terms: -21 + -2 = -23 -23 + -3x + -1x = -4(x + 4) + -7 Combine like terms: -3x + -1x = -4x -23 + -4x = -4(x + 4) + -7 Reorder the terms: -23 + -4x = -4(4 + x) + -7 -23 + -4x = (4 * -4 + x * -4) + -7 -23 + -4x = (-16 + -4x) + -7 Reorder the terms: -23 + -4x = -16 + -7 + -4x Combine like terms: -16 + -7 = -23 -23 + -4x = -23 + -4x Add '23' to each side of the equation. -23 + 23 + -4x = -23 + 23 + -4x Combine like terms: -23 + 23 = 0 0 + -4x = -23 + 23 + -4x -4x = -23 + 23 + -4x Combine like terms: -23 + 23 = 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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