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Simplifying 2(4x + -1) = 3(4 + -3x) + 3x Reorder the terms: 2(-1 + 4x) = 3(4 + -3x) + 3x (-1 * 2 + 4x * 2) = 3(4 + -3x) + 3x (-2 + 8x) = 3(4 + -3x) + 3x -2 + 8x = (4 * 3 + -3x * 3) + 3x -2 + 8x = (12 + -9x) + 3x Combine like terms: -9x + 3x = -6x -2 + 8x = 12 + -6x Solving -2 + 8x = 12 + -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. -2 + 8x + 6x = 12 + -6x + 6x Combine like terms: 8x + 6x = 14x -2 + 14x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 14x = 12 + 0 -2 + 14x = 12 Add '2' to each side of the equation. -2 + 2 + 14x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 12 + 2 14x = 12 + 2 Combine like terms: 12 + 2 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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