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Simplifying -10(x + 8) + 281 = 29 + 12 Reorder the terms: -10(8 + x) + 281 = 29 + 12 (8 * -10 + x * -10) + 281 = 29 + 12 (-80 + -10x) + 281 = 29 + 12 Reorder the terms: -80 + 281 + -10x = 29 + 12 Combine like terms: -80 + 281 = 201 201 + -10x = 29 + 12 Combine like terms: 29 + 12 = 41 201 + -10x = 41 Solving 201 + -10x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-201' to each side of the equation. 201 + -201 + -10x = 41 + -201 Combine like terms: 201 + -201 = 0 0 + -10x = 41 + -201 -10x = 41 + -201 Combine like terms: 41 + -201 = -160 -10x = -160 Divide each side by '-10'. x = 16 Simplifying x = 16
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