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Simplifying -2(-4x + 3) + 3x + 1 = 61 Reorder the terms: -2(3 + -4x) + 3x + 1 = 61 (3 * -2 + -4x * -2) + 3x + 1 = 61 (-6 + 8x) + 3x + 1 = 61 Reorder the terms: -6 + 1 + 8x + 3x = 61 Combine like terms: -6 + 1 = -5 -5 + 8x + 3x = 61 Combine like terms: 8x + 3x = 11x -5 + 11x = 61 Solving -5 + 11x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11x = 61 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 61 + 5 11x = 61 + 5 Combine like terms: 61 + 5 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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