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Simplifying 1 + 6(2x + -8) = 5x + 9 Reorder the terms: 1 + 6(-8 + 2x) = 5x + 9 1 + (-8 * 6 + 2x * 6) = 5x + 9 1 + (-48 + 12x) = 5x + 9 Combine like terms: 1 + -48 = -47 -47 + 12x = 5x + 9 Reorder the terms: -47 + 12x = 9 + 5x Solving -47 + 12x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -47 + 12x + -5x = 9 + 5x + -5x Combine like terms: 12x + -5x = 7x -47 + 7x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 7x = 9 + 0 -47 + 7x = 9 Add '47' to each side of the equation. -47 + 47 + 7x = 9 + 47 Combine like terms: -47 + 47 = 0 0 + 7x = 9 + 47 7x = 9 + 47 Combine like terms: 9 + 47 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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