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Simplifying 8(x + -4) + -6(x + -3) + 7x = 0 Reorder the terms: 8(-4 + x) + -6(x + -3) + 7x = 0 (-4 * 8 + x * 8) + -6(x + -3) + 7x = 0 (-32 + 8x) + -6(x + -3) + 7x = 0 Reorder the terms: -32 + 8x + -6(-3 + x) + 7x = 0 -32 + 8x + (-3 * -6 + x * -6) + 7x = 0 -32 + 8x + (18 + -6x) + 7x = 0 Reorder the terms: -32 + 18 + 8x + -6x + 7x = 0 Combine like terms: -32 + 18 = -14 -14 + 8x + -6x + 7x = 0 Combine like terms: 8x + -6x = 2x -14 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x -14 + 9x = 0 Solving -14 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 0 + 14 9x = 0 + 14 Combine like terms: 0 + 14 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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