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Simplifying -4(x + 3) + -1x + -6 = -5(x + 4) + 2 Reorder the terms: -4(3 + x) + -1x + -6 = -5(x + 4) + 2 (3 * -4 + x * -4) + -1x + -6 = -5(x + 4) + 2 (-12 + -4x) + -1x + -6 = -5(x + 4) + 2 Reorder the terms: -12 + -6 + -4x + -1x = -5(x + 4) + 2 Combine like terms: -12 + -6 = -18 -18 + -4x + -1x = -5(x + 4) + 2 Combine like terms: -4x + -1x = -5x -18 + -5x = -5(x + 4) + 2 Reorder the terms: -18 + -5x = -5(4 + x) + 2 -18 + -5x = (4 * -5 + x * -5) + 2 -18 + -5x = (-20 + -5x) + 2 Reorder the terms: -18 + -5x = -20 + 2 + -5x Combine like terms: -20 + 2 = -18 -18 + -5x = -18 + -5x Add '18' to each side of the equation. -18 + 18 + -5x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 0 + -5x = -18 + 18 + -5x -5x = -18 + 18 + -5x Combine like terms: -18 + 18 = 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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