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Simplifying 2(4x + -1) = 3(x + 3) + -2 Reorder the terms: 2(-1 + 4x) = 3(x + 3) + -2 (-1 * 2 + 4x * 2) = 3(x + 3) + -2 (-2 + 8x) = 3(x + 3) + -2 Reorder the terms: -2 + 8x = 3(3 + x) + -2 -2 + 8x = (3 * 3 + x * 3) + -2 -2 + 8x = (9 + 3x) + -2 Reorder the terms: -2 + 8x = 9 + -2 + 3x Combine like terms: 9 + -2 = 7 -2 + 8x = 7 + 3x Solving -2 + 8x = 7 + 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. -2 + 8x + -3x = 7 + 3x + -3x Combine like terms: 8x + -3x = 5x -2 + 5x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 5x = 7 + 0 -2 + 5x = 7 Add '2' to each side of the equation. -2 + 2 + 5x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 7 + 2 5x = 7 + 2 Combine like terms: 7 + 2 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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