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Simplifying 2(4x + 1) = 6x + -2 + 10 Reorder the terms: 2(1 + 4x) = 6x + -2 + 10 (1 * 2 + 4x * 2) = 6x + -2 + 10 (2 + 8x) = 6x + -2 + 10 Reorder the terms: 2 + 8x = -2 + 10 + 6x Combine like terms: -2 + 10 = 8 2 + 8x = 8 + 6x Solving 2 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x 2 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 2x = 8 + 0 2 + 2x = 8 Add '-2' to each side of the equation. 2 + -2 + 2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 8 + -2 2x = 8 + -2 Combine like terms: 8 + -2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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