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Simplifying -8(11 + -9x) + 1 = 2(8 + -12x) + -7x (11 * -8 + -9x * -8) + 1 = 2(8 + -12x) + -7x (-88 + 72x) + 1 = 2(8 + -12x) + -7x Reorder the terms: -88 + 1 + 72x = 2(8 + -12x) + -7x Combine like terms: -88 + 1 = -87 -87 + 72x = 2(8 + -12x) + -7x -87 + 72x = (8 * 2 + -12x * 2) + -7x -87 + 72x = (16 + -24x) + -7x Combine like terms: -24x + -7x = -31x -87 + 72x = 16 + -31x Solving -87 + 72x = 16 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -87 + 72x + 31x = 16 + -31x + 31x Combine like terms: 72x + 31x = 103x -87 + 103x = 16 + -31x + 31x Combine like terms: -31x + 31x = 0 -87 + 103x = 16 + 0 -87 + 103x = 16 Add '87' to each side of the equation. -87 + 87 + 103x = 16 + 87 Combine like terms: -87 + 87 = 0 0 + 103x = 16 + 87 103x = 16 + 87 Combine like terms: 16 + 87 = 103 103x = 103 Divide each side by '103'. x = 1 Simplifying x = 1
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