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Simplifying -6(4 + -8x) + 2(2 + -9x) = 23x + 1 (4 * -6 + -8x * -6) + 2(2 + -9x) = 23x + 1 (-24 + 48x) + 2(2 + -9x) = 23x + 1 -24 + 48x + (2 * 2 + -9x * 2) = 23x + 1 -24 + 48x + (4 + -18x) = 23x + 1 Reorder the terms: -24 + 4 + 48x + -18x = 23x + 1 Combine like terms: -24 + 4 = -20 -20 + 48x + -18x = 23x + 1 Combine like terms: 48x + -18x = 30x -20 + 30x = 23x + 1 Reorder the terms: -20 + 30x = 1 + 23x Solving -20 + 30x = 1 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -20 + 30x + -23x = 1 + 23x + -23x Combine like terms: 30x + -23x = 7x -20 + 7x = 1 + 23x + -23x Combine like terms: 23x + -23x = 0 -20 + 7x = 1 + 0 -20 + 7x = 1 Add '20' to each side of the equation. -20 + 20 + 7x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 1 + 20 7x = 1 + 20 Combine like terms: 1 + 20 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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