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Simplifying 8x + 6(-2x + -7) = -41 + -5x Reorder the terms: 8x + 6(-7 + -2x) = -41 + -5x 8x + (-7 * 6 + -2x * 6) = -41 + -5x 8x + (-42 + -12x) = -41 + -5x Reorder the terms: -42 + 8x + -12x = -41 + -5x Combine like terms: 8x + -12x = -4x -42 + -4x = -41 + -5x Solving -42 + -4x = -41 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -42 + -4x + 5x = -41 + -5x + 5x Combine like terms: -4x + 5x = 1x -42 + 1x = -41 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 1x = -41 + 0 -42 + 1x = -41 Add '42' to each side of the equation. -42 + 42 + 1x = -41 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -41 + 42 1x = -41 + 42 Combine like terms: -41 + 42 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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