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Simplifying 3(5x + 7) + -10x = 8x + 27 Reorder the terms: 3(7 + 5x) + -10x = 8x + 27 (7 * 3 + 5x * 3) + -10x = 8x + 27 (21 + 15x) + -10x = 8x + 27 Combine like terms: 15x + -10x = 5x 21 + 5x = 8x + 27 Reorder the terms: 21 + 5x = 27 + 8x Solving 21 + 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. 21 + 5x + -8x = 27 + 8x + -8x Combine like terms: 5x + -8x = -3x 21 + -3x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -3x = 27 + 0 21 + -3x = 27 Add '-21' to each side of the equation. 21 + -21 + -3x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 27 + -21 -3x = 27 + -21 Combine like terms: 27 + -21 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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