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Simplifying 8x + -1(7x + 2) = 8x + -44 Reorder the terms: 8x + -1(2 + 7x) = 8x + -44 8x + (2 * -1 + 7x * -1) = 8x + -44 8x + (-2 + -7x) = 8x + -44 Reorder the terms: -2 + 8x + -7x = 8x + -44 Combine like terms: 8x + -7x = 1x -2 + 1x = 8x + -44 Reorder the terms: -2 + 1x = -44 + 8x Solving -2 + 1x = -44 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 1x + -8x = -44 + 8x + -8x Combine like terms: 1x + -8x = -7x -2 + -7x = -44 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -7x = -44 + 0 -2 + -7x = -44 Add '2' to each side of the equation. -2 + 2 + -7x = -44 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -44 + 2 -7x = -44 + 2 Combine like terms: -44 + 2 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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