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Simplifying -21(-3x + -12) = 16x + 17 Reorder the terms: -21(-12 + -3x) = 16x + 17 (-12 * -21 + -3x * -21) = 16x + 17 (252 + 63x) = 16x + 17 Reorder the terms: 252 + 63x = 17 + 16x Solving 252 + 63x = 17 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 252 + 63x + -16x = 17 + 16x + -16x Combine like terms: 63x + -16x = 47x 252 + 47x = 17 + 16x + -16x Combine like terms: 16x + -16x = 0 252 + 47x = 17 + 0 252 + 47x = 17 Add '-252' to each side of the equation. 252 + -252 + 47x = 17 + -252 Combine like terms: 252 + -252 = 0 0 + 47x = 17 + -252 47x = 17 + -252 Combine like terms: 17 + -252 = -235 47x = -235 Divide each side by '47'. x = -5 Simplifying x = -5
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