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Simplifying 2x + 3(2x + 3) = 10x + 17 Reorder the terms: 2x + 3(3 + 2x) = 10x + 17 2x + (3 * 3 + 2x * 3) = 10x + 17 2x + (9 + 6x) = 10x + 17 Reorder the terms: 9 + 2x + 6x = 10x + 17 Combine like terms: 2x + 6x = 8x 9 + 8x = 10x + 17 Reorder the terms: 9 + 8x = 17 + 10x Solving 9 + 8x = 17 + 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. 9 + 8x + -10x = 17 + 10x + -10x Combine like terms: 8x + -10x = -2x 9 + -2x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -2x = 17 + 0 9 + -2x = 17 Add '-9' to each side of the equation. 9 + -9 + -2x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 17 + -9 -2x = 17 + -9 Combine like terms: 17 + -9 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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