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Simplifying -5(x + 3) + -1x + -3 = -6(x + 7) + 24 Reorder the terms: -5(3 + x) + -1x + -3 = -6(x + 7) + 24 (3 * -5 + x * -5) + -1x + -3 = -6(x + 7) + 24 (-15 + -5x) + -1x + -3 = -6(x + 7) + 24 Reorder the terms: -15 + -3 + -5x + -1x = -6(x + 7) + 24 Combine like terms: -15 + -3 = -18 -18 + -5x + -1x = -6(x + 7) + 24 Combine like terms: -5x + -1x = -6x -18 + -6x = -6(x + 7) + 24 Reorder the terms: -18 + -6x = -6(7 + x) + 24 -18 + -6x = (7 * -6 + x * -6) + 24 -18 + -6x = (-42 + -6x) + 24 Reorder the terms: -18 + -6x = -42 + 24 + -6x Combine like terms: -42 + 24 = -18 -18 + -6x = -18 + -6x Add '18' to each side of the equation. -18 + 18 + -6x = -18 + 18 + -6x Combine like terms: -18 + 18 = 0 0 + -6x = -18 + 18 + -6x -6x = -18 + 18 + -6x Combine like terms: -18 + 18 = 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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