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Simplifying 8(x + -6) + -2(x + -5) + 9x = x Reorder the terms: 8(-6 + x) + -2(x + -5) + 9x = x (-6 * 8 + x * 8) + -2(x + -5) + 9x = x (-48 + 8x) + -2(x + -5) + 9x = x Reorder the terms: -48 + 8x + -2(-5 + x) + 9x = x -48 + 8x + (-5 * -2 + x * -2) + 9x = x -48 + 8x + (10 + -2x) + 9x = x Reorder the terms: -48 + 10 + 8x + -2x + 9x = x Combine like terms: -48 + 10 = -38 -38 + 8x + -2x + 9x = x Combine like terms: 8x + -2x = 6x -38 + 6x + 9x = x Combine like terms: 6x + 9x = 15x -38 + 15x = x Solving -38 + 15x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -38 + 15x + -1x = x + -1x Combine like terms: 15x + -1x = 14x -38 + 14x = x + -1x Combine like terms: x + -1x = 0 -38 + 14x = 0 Add '38' to each side of the equation. -38 + 38 + 14x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 0 + 38 14x = 0 + 38 Combine like terms: 0 + 38 = 38 14x = 38 Divide each side by '14'. x = 2.714285714 Simplifying x = 2.714285714
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