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Simplifying -4 + -7(x + 3) = -6(x + 4) + -1x + -1 Reorder the terms: -4 + -7(3 + x) = -6(x + 4) + -1x + -1 -4 + (3 * -7 + x * -7) = -6(x + 4) + -1x + -1 -4 + (-21 + -7x) = -6(x + 4) + -1x + -1 Combine like terms: -4 + -21 = -25 -25 + -7x = -6(x + 4) + -1x + -1 Reorder the terms: -25 + -7x = -6(4 + x) + -1x + -1 -25 + -7x = (4 * -6 + x * -6) + -1x + -1 -25 + -7x = (-24 + -6x) + -1x + -1 Reorder the terms: -25 + -7x = -24 + -1 + -6x + -1x Combine like terms: -24 + -1 = -25 -25 + -7x = -25 + -6x + -1x Combine like terms: -6x + -1x = -7x -25 + -7x = -25 + -7x Add '25' to each side of the equation. -25 + 25 + -7x = -25 + 25 + -7x Combine like terms: -25 + 25 = 0 0 + -7x = -25 + 25 + -7x -7x = -25 + 25 + -7x Combine like terms: -25 + 25 = 0 -7x = 0 + -7x -7x = -7x Add '7x' to each side of the equation. -7x + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 0 = -7x + 7x Combine like terms: -7x + 7x = 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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