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Simplifying -5(x + 8) + -1x + -5 = -6(x + 2) + -33 Reorder the terms: -5(8 + x) + -1x + -5 = -6(x + 2) + -33 (8 * -5 + x * -5) + -1x + -5 = -6(x + 2) + -33 (-40 + -5x) + -1x + -5 = -6(x + 2) + -33 Reorder the terms: -40 + -5 + -5x + -1x = -6(x + 2) + -33 Combine like terms: -40 + -5 = -45 -45 + -5x + -1x = -6(x + 2) + -33 Combine like terms: -5x + -1x = -6x -45 + -6x = -6(x + 2) + -33 Reorder the terms: -45 + -6x = -6(2 + x) + -33 -45 + -6x = (2 * -6 + x * -6) + -33 -45 + -6x = (-12 + -6x) + -33 Reorder the terms: -45 + -6x = -12 + -33 + -6x Combine like terms: -12 + -33 = -45 -45 + -6x = -45 + -6x Add '45' to each side of the equation. -45 + 45 + -6x = -45 + 45 + -6x Combine like terms: -45 + 45 = 0 0 + -6x = -45 + 45 + -6x -6x = -45 + 45 + -6x Combine like terms: -45 + 45 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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