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Simplifying 1 + 6(x + -4) = 2 + -8(x + -9) Reorder the terms: 1 + 6(-4 + x) = 2 + -8(x + -9) 1 + (-4 * 6 + x * 6) = 2 + -8(x + -9) 1 + (-24 + 6x) = 2 + -8(x + -9) Combine like terms: 1 + -24 = -23 -23 + 6x = 2 + -8(x + -9) Reorder the terms: -23 + 6x = 2 + -8(-9 + x) -23 + 6x = 2 + (-9 * -8 + x * -8) -23 + 6x = 2 + (72 + -8x) Combine like terms: 2 + 72 = 74 -23 + 6x = 74 + -8x Solving -23 + 6x = 74 + -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. -23 + 6x + 8x = 74 + -8x + 8x Combine like terms: 6x + 8x = 14x -23 + 14x = 74 + -8x + 8x Combine like terms: -8x + 8x = 0 -23 + 14x = 74 + 0 -23 + 14x = 74 Add '23' to each side of the equation. -23 + 23 + 14x = 74 + 23 Combine like terms: -23 + 23 = 0 0 + 14x = 74 + 23 14x = 74 + 23 Combine like terms: 74 + 23 = 97 14x = 97 Divide each side by '14'. x = 6.928571429 Simplifying x = 6.928571429
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