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Simplifying 4x + 17 = 3(2x + 7) Reorder the terms: 17 + 4x = 3(2x + 7) Reorder the terms: 17 + 4x = 3(7 + 2x) 17 + 4x = (7 * 3 + 2x * 3) 17 + 4x = (21 + 6x) Solving 17 + 4x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 4x + -6x = 21 + 6x + -6x Combine like terms: 4x + -6x = -2x 17 + -2x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -2x = 21 + 0 17 + -2x = 21 Add '-17' to each side of the equation. 17 + -17 + -2x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 21 + -17 -2x = 21 + -17 Combine like terms: 21 + -17 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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