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Simplifying 9 + -2(x + 4) = 8(3 + -1x) + 1 Reorder the terms: 9 + -2(4 + x) = 8(3 + -1x) + 1 9 + (4 * -2 + x * -2) = 8(3 + -1x) + 1 9 + (-8 + -2x) = 8(3 + -1x) + 1 Combine like terms: 9 + -8 = 1 1 + -2x = 8(3 + -1x) + 1 1 + -2x = (3 * 8 + -1x * 8) + 1 1 + -2x = (24 + -8x) + 1 Reorder the terms: 1 + -2x = 24 + 1 + -8x Combine like terms: 24 + 1 = 25 1 + -2x = 25 + -8x Solving 1 + -2x = 25 + -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. 1 + -2x + 8x = 25 + -8x + 8x Combine like terms: -2x + 8x = 6x 1 + 6x = 25 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 6x = 25 + 0 1 + 6x = 25 Add '-1' to each side of the equation. 1 + -1 + 6x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 25 + -1 6x = 25 + -1 Combine like terms: 25 + -1 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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