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Simplifying 5(x + 5) + 3(x + 2) + -7(x + 6) = x Reorder the terms: 5(5 + x) + 3(x + 2) + -7(x + 6) = x (5 * 5 + x * 5) + 3(x + 2) + -7(x + 6) = x (25 + 5x) + 3(x + 2) + -7(x + 6) = x Reorder the terms: 25 + 5x + 3(2 + x) + -7(x + 6) = x 25 + 5x + (2 * 3 + x * 3) + -7(x + 6) = x 25 + 5x + (6 + 3x) + -7(x + 6) = x Reorder the terms: 25 + 5x + 6 + 3x + -7(6 + x) = x 25 + 5x + 6 + 3x + (6 * -7 + x * -7) = x 25 + 5x + 6 + 3x + (-42 + -7x) = x Reorder the terms: 25 + 6 + -42 + 5x + 3x + -7x = x Combine like terms: 25 + 6 = 31 31 + -42 + 5x + 3x + -7x = x Combine like terms: 31 + -42 = -11 -11 + 5x + 3x + -7x = x Combine like terms: 5x + 3x = 8x -11 + 8x + -7x = x Combine like terms: 8x + -7x = 1x -11 + 1x = x Solving -11 + 1x = 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. -11 + 1x + -1x = x + -1x Combine like terms: 1x + -1x = 0 -11 + 0 = x + -1x -11 = x + -1x Combine like terms: x + -1x = 0 -11 = 0 Add '11' to each side of the equation. -11 + 11 = 0 + 11 Combine like terms: -11 + 11 = 0 0 = 0 + 11 Combine like terms: 0 + 11 = 11 0 = 11 Simplifying 0 = 11 Combine like terms: 0 + -11 = -11 -11 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 = 0 The solution to this equation could not be determined.
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