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Simplifying 3(x + 6) + -4(x + 6) = -1x + -6 Reorder the terms: 3(6 + x) + -4(x + 6) = -1x + -6 (6 * 3 + x * 3) + -4(x + 6) = -1x + -6 (18 + 3x) + -4(x + 6) = -1x + -6 Reorder the terms: 18 + 3x + -4(6 + x) = -1x + -6 18 + 3x + (6 * -4 + x * -4) = -1x + -6 18 + 3x + (-24 + -4x) = -1x + -6 Reorder the terms: 18 + -24 + 3x + -4x = -1x + -6 Combine like terms: 18 + -24 = -6 -6 + 3x + -4x = -1x + -6 Combine like terms: 3x + -4x = -1x -6 + -1x = -1x + -6 Reorder the terms: -6 + -1x = -6 + -1x Add '6' to each side of the equation. -6 + 6 + -1x = -6 + 6 + -1x Combine like terms: -6 + 6 = 0 0 + -1x = -6 + 6 + -1x -1x = -6 + 6 + -1x Combine like terms: -6 + 6 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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