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Simplifying -8(x + 6) + 6(x + 1) = 0 Reorder the terms: -8(6 + x) + 6(x + 1) = 0 (6 * -8 + x * -8) + 6(x + 1) = 0 (-48 + -8x) + 6(x + 1) = 0 Reorder the terms: -48 + -8x + 6(1 + x) = 0 -48 + -8x + (1 * 6 + x * 6) = 0 -48 + -8x + (6 + 6x) = 0 Reorder the terms: -48 + 6 + -8x + 6x = 0 Combine like terms: -48 + 6 = -42 -42 + -8x + 6x = 0 Combine like terms: -8x + 6x = -2x -42 + -2x = 0 Solving -42 + -2x = 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 + -2x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = 0 + 42 -2x = 0 + 42 Combine like terms: 0 + 42 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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