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Simplifying 10 = 2(4x + 1) Reorder the terms: 10 = 2(1 + 4x) 10 = (1 * 2 + 4x * 2) 10 = (2 + 8x) Solving 10 = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -8x = 2 + 0 10 + -8x = 2 Add '-10' to each side of the equation. 10 + -10 + -8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 2 + -10 -8x = 2 + -10 Combine like terms: 2 + -10 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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