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Simplifying 8(x + -6) + 6(x + -7) + 1 = 0 Reorder the terms: 8(-6 + x) + 6(x + -7) + 1 = 0 (-6 * 8 + x * 8) + 6(x + -7) + 1 = 0 (-48 + 8x) + 6(x + -7) + 1 = 0 Reorder the terms: -48 + 8x + 6(-7 + x) + 1 = 0 -48 + 8x + (-7 * 6 + x * 6) + 1 = 0 -48 + 8x + (-42 + 6x) + 1 = 0 Reorder the terms: -48 + -42 + 1 + 8x + 6x = 0 Combine like terms: -48 + -42 = -90 -90 + 1 + 8x + 6x = 0 Combine like terms: -90 + 1 = -89 -89 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x -89 + 14x = 0 Solving -89 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 14x = 0 + 89 Combine like terms: -89 + 89 = 0 0 + 14x = 0 + 89 14x = 0 + 89 Combine like terms: 0 + 89 = 89 14x = 89 Divide each side by '14'. x = 6.357142857 Simplifying x = 6.357142857
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