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Simplifying 8x + -1(7x + 7) = 2x + -24 Reorder the terms: 8x + -1(7 + 7x) = 2x + -24 8x + (7 * -1 + 7x * -1) = 2x + -24 8x + (-7 + -7x) = 2x + -24 Reorder the terms: -7 + 8x + -7x = 2x + -24 Combine like terms: 8x + -7x = 1x -7 + 1x = 2x + -24 Reorder the terms: -7 + 1x = -24 + 2x Solving -7 + 1x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 1x + -2x = -24 + 2x + -2x Combine like terms: 1x + -2x = -1x -7 + -1x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1x = -24 + 0 -7 + -1x = -24 Add '7' to each side of the equation. -7 + 7 + -1x = -24 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -24 + 7 -1x = -24 + 7 Combine like terms: -24 + 7 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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