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Simplifying 8(x + -8) + -6(x + -1) + 7x = 0 Reorder the terms: 8(-8 + x) + -6(x + -1) + 7x = 0 (-8 * 8 + x * 8) + -6(x + -1) + 7x = 0 (-64 + 8x) + -6(x + -1) + 7x = 0 Reorder the terms: -64 + 8x + -6(-1 + x) + 7x = 0 -64 + 8x + (-1 * -6 + x * -6) + 7x = 0 -64 + 8x + (6 + -6x) + 7x = 0 Reorder the terms: -64 + 6 + 8x + -6x + 7x = 0 Combine like terms: -64 + 6 = -58 -58 + 8x + -6x + 7x = 0 Combine like terms: 8x + -6x = 2x -58 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x -58 + 9x = 0 Solving -58 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 9x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 9x = 0 + 58 9x = 0 + 58 Combine like terms: 0 + 58 = 58 9x = 58 Divide each side by '9'. x = 6.444444444 Simplifying x = 6.444444444
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