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Simplifying 2 + 3(5 + -4x) = 17 + 4(4x + 1) 2 + (5 * 3 + -4x * 3) = 17 + 4(4x + 1) 2 + (15 + -12x) = 17 + 4(4x + 1) Combine like terms: 2 + 15 = 17 17 + -12x = 17 + 4(4x + 1) Reorder the terms: 17 + -12x = 17 + 4(1 + 4x) 17 + -12x = 17 + (1 * 4 + 4x * 4) 17 + -12x = 17 + (4 + 16x) Combine like terms: 17 + 4 = 21 17 + -12x = 21 + 16x Solving 17 + -12x = 21 + 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. 17 + -12x + -16x = 21 + 16x + -16x Combine like terms: -12x + -16x = -28x 17 + -28x = 21 + 16x + -16x Combine like terms: 16x + -16x = 0 17 + -28x = 21 + 0 17 + -28x = 21 Add '-17' to each side of the equation. 17 + -17 + -28x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -28x = 21 + -17 -28x = 21 + -17 Combine like terms: 21 + -17 = 4 -28x = 4 Divide each side by '-28'. x = -0.1428571429 Simplifying x = -0.1428571429
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