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Simplifying 2(4x + -3) = -3x + 83 Reorder the terms: 2(-3 + 4x) = -3x + 83 (-3 * 2 + 4x * 2) = -3x + 83 (-6 + 8x) = -3x + 83 Reorder the terms: -6 + 8x = 83 + -3x Solving -6 + 8x = 83 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 8x + 3x = 83 + -3x + 3x Combine like terms: 8x + 3x = 11x -6 + 11x = 83 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 11x = 83 + 0 -6 + 11x = 83 Add '6' to each side of the equation. -6 + 6 + 11x = 83 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 83 + 6 11x = 83 + 6 Combine like terms: 83 + 6 = 89 11x = 89 Divide each side by '11'. x = 8.090909091 Simplifying x = 8.090909091
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