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Simplifying 2(3x + -1) + (2x + 1) = 55 Reorder the terms: 2(-1 + 3x) + (2x + 1) = 55 (-1 * 2 + 3x * 2) + (2x + 1) = 55 (-2 + 6x) + (2x + 1) = 55 Reorder the terms: -2 + 6x + (1 + 2x) = 55 Remove parenthesis around (1 + 2x) -2 + 6x + 1 + 2x = 55 Reorder the terms: -2 + 1 + 6x + 2x = 55 Combine like terms: -2 + 1 = -1 -1 + 6x + 2x = 55 Combine like terms: 6x + 2x = 8x -1 + 8x = 55 Solving -1 + 8x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 55 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 55 + 1 8x = 55 + 1 Combine like terms: 55 + 1 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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