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Simplifying 6x + 17 = 5(2x + 1) Reorder the terms: 17 + 6x = 5(2x + 1) Reorder the terms: 17 + 6x = 5(1 + 2x) 17 + 6x = (1 * 5 + 2x * 5) 17 + 6x = (5 + 10x) Solving 17 + 6x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 6x + -10x = 5 + 10x + -10x Combine like terms: 6x + -10x = -4x 17 + -4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -4x = 5 + 0 17 + -4x = 5 Add '-17' to each side of the equation. 17 + -17 + -4x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 5 + -17 -4x = 5 + -17 Combine like terms: 5 + -17 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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