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Simplifying 5(x + 6) = 8x + 3 + -3 + 27 Reorder the terms: 5(6 + x) = 8x + 3 + -3 + 27 (6 * 5 + x * 5) = 8x + 3 + -3 + 27 (30 + 5x) = 8x + 3 + -3 + 27 Reorder the terms: 30 + 5x = 3 + -3 + 27 + 8x Combine like terms: 3 + -3 = 0 30 + 5x = 0 + 27 + 8x 30 + 5x = 27 + 8x Solving 30 + 5x = 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. 30 + 5x + -8x = 27 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = 27 + 0 30 + -3x = 27 Add '-30' to each side of the equation. 30 + -30 + -3x = 27 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 27 + -30 -3x = 27 + -30 Combine like terms: 27 + -30 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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