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Simplifying -6(x + 6) + -1x + -2 = -7(x + 4) + -10 Reorder the terms: -6(6 + x) + -1x + -2 = -7(x + 4) + -10 (6 * -6 + x * -6) + -1x + -2 = -7(x + 4) + -10 (-36 + -6x) + -1x + -2 = -7(x + 4) + -10 Reorder the terms: -36 + -2 + -6x + -1x = -7(x + 4) + -10 Combine like terms: -36 + -2 = -38 -38 + -6x + -1x = -7(x + 4) + -10 Combine like terms: -6x + -1x = -7x -38 + -7x = -7(x + 4) + -10 Reorder the terms: -38 + -7x = -7(4 + x) + -10 -38 + -7x = (4 * -7 + x * -7) + -10 -38 + -7x = (-28 + -7x) + -10 Reorder the terms: -38 + -7x = -28 + -10 + -7x Combine like terms: -28 + -10 = -38 -38 + -7x = -38 + -7x Add '38' to each side of the equation. -38 + 38 + -7x = -38 + 38 + -7x Combine like terms: -38 + 38 = 0 0 + -7x = -38 + 38 + -7x -7x = -38 + 38 + -7x Combine like terms: -38 + 38 = 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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