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Simplifying 4(2x + 1) + 7 = 2x + 17 Reorder the terms: 4(1 + 2x) + 7 = 2x + 17 (1 * 4 + 2x * 4) + 7 = 2x + 17 (4 + 8x) + 7 = 2x + 17 Reorder the terms: 4 + 7 + 8x = 2x + 17 Combine like terms: 4 + 7 = 11 11 + 8x = 2x + 17 Reorder the terms: 11 + 8x = 17 + 2x Solving 11 + 8x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + 8x + -2x = 17 + 2x + -2x Combine like terms: 8x + -2x = 6x 11 + 6x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 6x = 17 + 0 11 + 6x = 17 Add '-11' to each side of the equation. 11 + -11 + 6x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 17 + -11 6x = 17 + -11 Combine like terms: 17 + -11 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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