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Simplifying 6(x + -6) + -5(x + -7) = x + 6 Reorder the terms: 6(-6 + x) + -5(x + -7) = x + 6 (-6 * 6 + x * 6) + -5(x + -7) = x + 6 (-36 + 6x) + -5(x + -7) = x + 6 Reorder the terms: -36 + 6x + -5(-7 + x) = x + 6 -36 + 6x + (-7 * -5 + x * -5) = x + 6 -36 + 6x + (35 + -5x) = x + 6 Reorder the terms: -36 + 35 + 6x + -5x = x + 6 Combine like terms: -36 + 35 = -1 -1 + 6x + -5x = x + 6 Combine like terms: 6x + -5x = 1x -1 + 1x = x + 6 Reorder the terms: -1 + 1x = 6 + x Solving -1 + 1x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 1x + -1x = 6 + x + -1x Combine like terms: 1x + -1x = 0 -1 + 0 = 6 + x + -1x -1 = 6 + x + -1x Combine like terms: x + -1x = 0 -1 = 6 + 0 -1 = 6 Add '1' to each side of the equation. -1 + 1 = 6 + 1 Combine like terms: -1 + 1 = 0 0 = 6 + 1 Combine like terms: 6 + 1 = 7 0 = 7 Simplifying 0 = 7 Combine like terms: 0 + -7 = -7 -7 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 = 0 The solution to this equation could not be determined.
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