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Simplifying 1 + 2(4x + -1) = 6x + 13 Reorder the terms: 1 + 2(-1 + 4x) = 6x + 13 1 + (-1 * 2 + 4x * 2) = 6x + 13 1 + (-2 + 8x) = 6x + 13 Combine like terms: 1 + -2 = -1 -1 + 8x = 6x + 13 Reorder the terms: -1 + 8x = 13 + 6x Solving -1 + 8x = 13 + 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. -1 + 8x + -6x = 13 + 6x + -6x Combine like terms: 8x + -6x = 2x -1 + 2x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 2x = 13 + 0 -1 + 2x = 13 Add '1' to each side of the equation. -1 + 1 + 2x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 13 + 1 2x = 13 + 1 Combine like terms: 13 + 1 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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