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Simplifying 5(x + 6) = 8x + 57 Reorder the terms: 5(6 + x) = 8x + 57 (6 * 5 + x * 5) = 8x + 57 (30 + 5x) = 8x + 57 Reorder the terms: 30 + 5x = 57 + 8x Solving 30 + 5x = 57 + 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. 30 + 5x + -8x = 57 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = 57 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = 57 + 0 30 + -3x = 57 Add '-30' to each side of the equation. 30 + -30 + -3x = 57 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 57 + -30 -3x = 57 + -30 Combine like terms: 57 + -30 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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