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Simplifying 1 + 6(8x + -9) = 8x + 27 Reorder the terms: 1 + 6(-9 + 8x) = 8x + 27 1 + (-9 * 6 + 8x * 6) = 8x + 27 1 + (-54 + 48x) = 8x + 27 Combine like terms: 1 + -54 = -53 -53 + 48x = 8x + 27 Reorder the terms: -53 + 48x = 27 + 8x Solving -53 + 48x = 27 + 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. -53 + 48x + -8x = 27 + 8x + -8x Combine like terms: 48x + -8x = 40x -53 + 40x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 -53 + 40x = 27 + 0 -53 + 40x = 27 Add '53' to each side of the equation. -53 + 53 + 40x = 27 + 53 Combine like terms: -53 + 53 = 0 0 + 40x = 27 + 53 40x = 27 + 53 Combine like terms: 27 + 53 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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