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Simplifying 2x + 17 = 3(4x + -1) Reorder the terms: 17 + 2x = 3(4x + -1) Reorder the terms: 17 + 2x = 3(-1 + 4x) 17 + 2x = (-1 * 3 + 4x * 3) 17 + 2x = (-3 + 12x) Solving 17 + 2x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 17 + 2x + -12x = -3 + 12x + -12x Combine like terms: 2x + -12x = -10x 17 + -10x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -10x = -3 + 0 17 + -10x = -3 Add '-17' to each side of the equation. 17 + -17 + -10x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = -3 + -17 -10x = -3 + -17 Combine like terms: -3 + -17 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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