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Simplifying 8(x + -7) + -1(7 + -5x) = x + 5 + -2 + x Reorder the terms: 8(-7 + x) + -1(7 + -5x) = x + 5 + -2 + x (-7 * 8 + x * 8) + -1(7 + -5x) = x + 5 + -2 + x (-56 + 8x) + -1(7 + -5x) = x + 5 + -2 + x -56 + 8x + (7 * -1 + -5x * -1) = x + 5 + -2 + x -56 + 8x + (-7 + 5x) = x + 5 + -2 + x Reorder the terms: -56 + -7 + 8x + 5x = x + 5 + -2 + x Combine like terms: -56 + -7 = -63 -63 + 8x + 5x = x + 5 + -2 + x Combine like terms: 8x + 5x = 13x -63 + 13x = x + 5 + -2 + x Reorder the terms: -63 + 13x = 5 + -2 + x + x Combine like terms: 5 + -2 = 3 -63 + 13x = 3 + x + x Combine like terms: x + x = 2x -63 + 13x = 3 + 2x Solving -63 + 13x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -63 + 13x + -2x = 3 + 2x + -2x Combine like terms: 13x + -2x = 11x -63 + 11x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -63 + 11x = 3 + 0 -63 + 11x = 3 Add '63' to each side of the equation. -63 + 63 + 11x = 3 + 63 Combine like terms: -63 + 63 = 0 0 + 11x = 3 + 63 11x = 3 + 63 Combine like terms: 3 + 63 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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