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Simplifying 10x + 2(3x + 1) = 1 + 7(2x + 3) Reorder the terms: 10x + 2(1 + 3x) = 1 + 7(2x + 3) 10x + (1 * 2 + 3x * 2) = 1 + 7(2x + 3) 10x + (2 + 6x) = 1 + 7(2x + 3) Reorder the terms: 2 + 10x + 6x = 1 + 7(2x + 3) Combine like terms: 10x + 6x = 16x 2 + 16x = 1 + 7(2x + 3) Reorder the terms: 2 + 16x = 1 + 7(3 + 2x) 2 + 16x = 1 + (3 * 7 + 2x * 7) 2 + 16x = 1 + (21 + 14x) Combine like terms: 1 + 21 = 22 2 + 16x = 22 + 14x Solving 2 + 16x = 22 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + 16x + -14x = 22 + 14x + -14x Combine like terms: 16x + -14x = 2x 2 + 2x = 22 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + 2x = 22 + 0 2 + 2x = 22 Add '-2' to each side of the equation. 2 + -2 + 2x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 22 + -2 2x = 22 + -2 Combine like terms: 22 + -2 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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