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Simplifying -5(x + 3) + -1x + -6 = -6(x + 6) + 15 Reorder the terms: -5(3 + x) + -1x + -6 = -6(x + 6) + 15 (3 * -5 + x * -5) + -1x + -6 = -6(x + 6) + 15 (-15 + -5x) + -1x + -6 = -6(x + 6) + 15 Reorder the terms: -15 + -6 + -5x + -1x = -6(x + 6) + 15 Combine like terms: -15 + -6 = -21 -21 + -5x + -1x = -6(x + 6) + 15 Combine like terms: -5x + -1x = -6x -21 + -6x = -6(x + 6) + 15 Reorder the terms: -21 + -6x = -6(6 + x) + 15 -21 + -6x = (6 * -6 + x * -6) + 15 -21 + -6x = (-36 + -6x) + 15 Reorder the terms: -21 + -6x = -36 + 15 + -6x Combine like terms: -36 + 15 = -21 -21 + -6x = -21 + -6x Add '21' to each side of the equation. -21 + 21 + -6x = -21 + 21 + -6x Combine like terms: -21 + 21 = 0 0 + -6x = -21 + 21 + -6x -6x = -21 + 21 + -6x Combine like terms: -21 + 21 = 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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