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Simplifying 8(x + -6) + -2(x + -5) + 9x = 0 Reorder the terms: 8(-6 + x) + -2(x + -5) + 9x = 0 (-6 * 8 + x * 8) + -2(x + -5) + 9x = 0 (-48 + 8x) + -2(x + -5) + 9x = 0 Reorder the terms: -48 + 8x + -2(-5 + x) + 9x = 0 -48 + 8x + (-5 * -2 + x * -2) + 9x = 0 -48 + 8x + (10 + -2x) + 9x = 0 Reorder the terms: -48 + 10 + 8x + -2x + 9x = 0 Combine like terms: -48 + 10 = -38 -38 + 8x + -2x + 9x = 0 Combine like terms: 8x + -2x = 6x -38 + 6x + 9x = 0 Combine like terms: 6x + 9x = 15x -38 + 15x = 0 Solving -38 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 15x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 15x = 0 + 38 15x = 0 + 38 Combine like terms: 0 + 38 = 38 15x = 38 Divide each side by '15'. x = 2.533333333 Simplifying x = 2.533333333
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