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Simplifying 8(x + -6) + -6(x + -1) + 5x = 0 Reorder the terms: 8(-6 + x) + -6(x + -1) + 5x = 0 (-6 * 8 + x * 8) + -6(x + -1) + 5x = 0 (-48 + 8x) + -6(x + -1) + 5x = 0 Reorder the terms: -48 + 8x + -6(-1 + x) + 5x = 0 -48 + 8x + (-1 * -6 + x * -6) + 5x = 0 -48 + 8x + (6 + -6x) + 5x = 0 Reorder the terms: -48 + 6 + 8x + -6x + 5x = 0 Combine like terms: -48 + 6 = -42 -42 + 8x + -6x + 5x = 0 Combine like terms: 8x + -6x = 2x -42 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -42 + 7x = 0 Solving -42 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 0 + 42 7x = 0 + 42 Combine like terms: 0 + 42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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