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Simplifying 1x + -7 = -96 + -1(7x + -9) Reorder the terms: -7 + 1x = -96 + -1(7x + -9) Reorder the terms: -7 + 1x = -96 + -1(-9 + 7x) -7 + 1x = -96 + (-9 * -1 + 7x * -1) -7 + 1x = -96 + (9 + -7x) Combine like terms: -96 + 9 = -87 -7 + 1x = -87 + -7x Solving -7 + 1x = -87 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + 1x + 7x = -87 + -7x + 7x Combine like terms: 1x + 7x = 8x -7 + 8x = -87 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 8x = -87 + 0 -7 + 8x = -87 Add '7' to each side of the equation. -7 + 7 + 8x = -87 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -87 + 7 8x = -87 + 7 Combine like terms: -87 + 7 = -80 8x = -80 Divide each side by '8'. x = -10 Simplifying x = -10
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